312904 has 8 divisors (see below), whose sum is σ = 586710. Its totient is φ = 156448.

The previous prime is 312899. The next prime is 312929. The reversal of 312904 is 409213.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 10404 = 550^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 19549 + ... + 19564.

2³¹²⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

312904 is a deficient number, since it is larger than the sum of its proper divisors (273806).

312904 is a wasteful number, since it uses less digits than its factorization.

312904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39119 (or 39115 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 312904 is about 559.3782262477. The cubic root of 312904 is about 67.8896711478.

The spelling of 312904 in words is "three hundred twelve thousand, nine hundred four".