312792 has 16 divisors (see below), whose sum is σ = 782040. Its totient is φ = 104256.

The previous prime is 312779. The next prime is 312799. The reversal of 312792 is 297213.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13033 = 312792 / (3 + 1 + 2 + 7 + 9 + 2).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312792.

It is not an unprimeable number, because it can be changed into a prime (312799) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6493 + ... + 6540.

2³¹²⁷⁹² is an apocalyptic number.

It is an amenable number.

312792 is an abundant number, since it is smaller than the sum of its proper divisors (469248).

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

312792 is a wasteful number, since it uses less digits than its factorization.

312792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042 (or 13038 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 312792 is about 559.2781061333. The cubic root of 312792 is about 67.8815701002.

The spelling of 312792 in words is "three hundred twelve thousand, seven hundred ninety-two".