12768931 has 24 divisors (see below), whose sum is σ = 15995904. Its totient is φ = 9972720.

The previous prime is 12768907. The next prime is 12768937. The reversal of 12768931 is 13986721.

12768931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12768931 is a nontrivial binomial coefficient, being equal to C(5054, 2).

It is not a de Polignac number, because 12768931 - 2⁹ = 12768419 is a prime.

It is a super-2 number, since 2×12768931² = 326091197765522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768937) 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, 78256 + ... + 78418.

It is an arithmetic number, because the mean of its divisors is an integer number (666496).

Almost surely, 2^12768931 is an apocalyptic number.

12768931 is the 5053-rd triangular number and also the 2527-th hexagonal number.

12768931 is the 1685-th centered nonagonal number.

12768931 is a deficient number, since it is larger than the sum of its proper divisors (3226973).

12768931 is a wasteful number, since it uses less digits than its factorization.

12768931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 12768931 is about 3573.3641012357. The cubic root of 12768931 is about 233.7320025798.

The spelling of 12768931 in words is "twelve million, seven hundred sixty-eight thousand, nine hundred thirty-one".