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12825765 = 325421677
BaseRepresentation
bin110000111011…
…010010100101
3220010121122100
4300323102211
511240411030
61134522313
7214005621
oct60732245
926117570
1012825765
117270207
124366399
132870b14
1419bc181
1511d5360
hexc3b4a5

12825765 has 24 divisors (see below), whose sum is σ = 22317048. Its totient is φ = 6814080.

The previous prime is 12825763. The next prime is 12825773. The reversal of 12825765 is 56752821.

It is a happy number.

12825765 is a `hidden beast` number, since 1 + 2 + 82 + 576 + 5 = 666.

12825765 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1252161 + 11573604 = 1119^2 + 3402^2 .

It is not a de Polignac number, because 12825765 - 21 = 12825763 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12825763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18607 + ... + 19283.

It is an arithmetic number, because the mean of its divisors is an integer number (929877).

Almost surely, 212825765 is an apocalyptic number.

12825765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12825765 is a deficient number, since it is larger than the sum of its proper divisors (9491283).

12825765 is a wasteful number, since it uses less digits than its factorization.

12825765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1106 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 12825765 is about 3581.3077220479. The cubic root of 12825765 is about 234.0782666089.

The spelling of 12825765 in words is "twelve million, eight hundred twenty-five thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 421 677 1263 2031 2105 3385 3789 6093 6315 10155 18945 30465 285017 855051 1425085 2565153 4275255 12825765