312972 has 24 divisors (see below), whose sum is σ = 796992. Its totient is φ = 94800.

The previous prime is 312971. The next prime is 312979. The reversal of 312972 is 279213.

It is not an unprimeable number, because it can be changed into a prime (312971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1054 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (33208).

2³¹²⁹⁷² is an apocalyptic number.

It is an amenable number.

312972 is an abundant number, since it is smaller than the sum of its proper divisors (484020).

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

312972 is a wasteful number, since it uses less digits than its factorization.

312972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2387 counting only the distinct ones).

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

The square root of 312972 is about 559.4390047181. The cubic root of 312972 is about 67.8945886979.

It can be divided in two parts, 31 and 2972, that added together give a palindrome (3003).

The spelling of 312972 in words is "three hundred twelve thousand, nine hundred seventy-two".