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82119 = 331883
BaseRepresentation
bin10100000011000111
311011122110
4110003013
510111434
61432103
7461262
oct240307
9134573
1082119
1156774
123b633
132b4bb
1421cd9
15194e9
hex140c7

82119 has 8 divisors (see below), whose sum is σ = 113152. Its totient is φ = 52920.

The previous prime is 82073. The next prime is 82129. The reversal of 82119 is 91128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82119 - 211 = 80071 is a prime.

It is a super-2 number, since 2×821192 = 13487060322, which contains 22 as substring.

It is a Duffinian number.

82119 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 82095 and 82104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (14144).

282119 is an apocalyptic number.

82119 is a deficient number, since it is larger than the sum of its proper divisors (31033).

82119 is a wasteful number, since it uses less digits than its factorization.

82119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917.

The product of its digits is 144, while the sum is 21.

The square root of 82119 is about 286.5641289485. The cubic root of 82119 is about 43.4658206873.

Subtracting 82119 from its reverse (91128), we obtain a palindrome (9009).

The spelling of 82119 in words is "eighty-two thousand, one hundred nineteen".

Divisors: 1 3 31 93 883 2649 27373 82119