312085904 has 20 divisors (see below), whose sum is σ = 651179676. Its totient is φ = 144039552.

The previous prime is 312085903. The next prime is 312085931. The reversal of 312085904 is 409580213.

312085904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103225600 + 208860304 = 10160^2 + 14452^2 .

It is a super-2 number, since 2×312085904² = 194795222950994432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312085903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 749999 + ... + 750414.

Almost surely, 2^312085904 is an apocalyptic number.

It is an amenable number.

312085904 is an abundant number, since it is smaller than the sum of its proper divisors (339093772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312085904 is a wasteful number, since it uses less digits than its factorization.

312085904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500434 (or 1500428 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 312085904 is about 17665.9532434567. The cubic root of 312085904 is about 678.3045304608.

The spelling of 312085904 in words is "three hundred twelve million, eighty-five thousand, nine hundred four".