12585931 has 2 divisors, whose sum is σ = 12585932. Its totient is φ = 12585930.

The previous prime is 12585889. The next prime is 12585941. The reversal of 12585931 is 13958521.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12585931 is a prime.

It is a super-2 number, since 2×12585931² = 316811318273522, which contains 22 as substring.

It is equal to p₈₂₃₉₃₉ and since 12585931 and 823939 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (12585941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6292965 + 6292966.

It is an arithmetic number, because the mean of its divisors is an integer number (6292966).

Almost surely, 2^12585931 is an apocalyptic number.

12585931 is a deficient number, since it is larger than the sum of its proper divisors (1).

12585931 is an equidigital number, since it uses as much as digits as its factorization.

12585931 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10800, while the sum is 34.

The square root of 12585931 is about 3547.6655704843. The cubic root of 12585931 is about 232.6100361714.

The spelling of 12585931 in words is "twelve million, five hundred eighty-five thousand, nine hundred thirty-one".