312804 has 18 divisors (see below), whose sum is σ = 790790. Its totient is φ = 104256.

The previous prime is 312799. The next prime is 312839. The reversal of 312804 is 408213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 8100 = 552^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312804.

It is an unprimeable number.

312804 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4309 + ... + 4380.

2³¹²⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

312804 is an abundant number, since it is smaller than the sum of its proper divisors (477986).

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

312804 is a wasteful number, since it uses less digits than its factorization.

312804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 312804 is about 559.2888341456. The cubic root of 312804 is about 67.8824381621.

The spelling of 312804 in words is "three hundred twelve thousand, eight hundred four".