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{{Infobox number
| number = 90000}}

'''90,000''' ('''ninety thousand''') is the [[natural number]] following [[80,000#Selected numbers in the range 80,000–89,999|89,999]] and preceding 90,001. It is the sum of the cubes of the first 24 positive integers, and is the square of 300.

==Selected numbers in the range 90,000–99,999==

* '''90,625''' = the only five-digit [[automorphic number]]: 90625<sup>2</sup> = 8212890625<ref>{{Cite web|url=https://oeis.org/A003226|title=Sloane's A003226 : Automorphic numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-16}}</ref>
* '''91,125''' = 45<sup>3</sup>
* '''91,144''' = Fine number{{huh|date=March 2024}}<ref>{{cite OEIS|A000957|Fine's sequence (or Fine numbers): number of relations of valence >= 1 on an n-set; also number of ordered rooted trees with n edges having root of even degree|access-date=2022-06-01}}</ref>
* '''92,205''' = number of 23-bead necklaces (turning over is allowed) where complements are equivalent<ref>{{cite OEIS|A000011|Number of n-bead necklaces (turning over is allowed) where complements are equivalent}}</ref>
* '''92,706''' = There is a math puzzle called KAYAK + KAYAK + KAYAK + KAYAK + KAYAK + KAYAK = SPORT, where each letter represents a digit. When one solves the puzzle, KAYAK = 15451, and when one added this up, SPORT = 92,706. <ref>{{cite web | url=https://www.mathsisfun.com/puzzles/kayak-solution.html | title=KAYAK Puzzle - Solution }}</ref>
* '''93,312''' = [[Leyland number]]: 6<sup>6</sup> + 6<sup>6</sup>.<ref name=":0">{{Cite web|url=https://oeis.org/A076980|title=Sloane's A076980 : Leyland numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-16}}</ref> Also a 3-smooth number.
* '''94,249''' = [[palindromic number|palindromic]] square: 307<sup>2</sup>
* '''94,932''' = Leyland number: 7<sup>5</sup> + 5<sup>7</sup><ref name=":0" />
* '''95,121''' = [[Kaprekar number]]: 95121<sup>2</sup> = 9048004641; 90480 + 04641 = 95121<ref name=":1">{{Cite web|url=https://oeis.org/A006886|title=Sloane's A006886 : Kaprekar numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-16}}</ref>
* '''95,420''' = number of 22-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref>{{cite OEIS|A000013|Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed}}</ref>
* '''96,557''' = [[Markov number]]: 5<sup>2</sup> + 6466<sup>2</sup> + 96557<sup>2</sup> = 3 × 5 × 6466 × 96557<ref>{{Cite web|url=https://oeis.org/A002559|title=Sloane's A002559 : Markoff (or Markov) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-16}}</ref>
* '''97,336''' = 46<sup>3</sup>, the largest 5-digit cube
* '''98,304''' = 3-[[smooth number]]
* '''99,066''' = largest number whose [[square (algebra)|square]] uses all of the [[decimal]] [[Numerical digit|digits]] once: 99066<sup>2</sup> = 9814072356. It is also strobogrammatic in decimal.
* '''99,856''' = 316<sup>2</sup>, the largest 5-digit square
* '''99,991''' = largest five-digit [[prime number]]
* '''99,999''' = [[repdigit]], Kaprekar number: 99999<sup>2</sup> = 9999800001; 99998 + 00001 = 99999<ref name=":1" />

===Primes===
There are 879 prime numbers between 90000 and 100000.

==References==
{{Reflist}}

==External links==
* {{cci}}

{{Integers|10}}

[[Category:Integers|90000]]


{{num-stub}}

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