312952 has 8 divisors (see below), whose sum is σ = 586800. Its totient is φ = 156472.

The previous prime is 312943. The next prime is 312967. The reversal of 312952 is 259213.

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

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 312952.

It is an unprimeable number.

312952 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 as a sum of consecutive naturals, namely, 19552 + ... + 19567.

It is an arithmetic number, because the mean of its divisors is an integer number (73350).

2³¹²⁹⁵² is an apocalyptic number.

It is an amenable number.

312952 is a deficient number, since it is larger than the sum of its proper divisors (273848).

312952 is a wasteful number, since it uses less digits than its factorization.

312952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39125 (or 39121 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 312952 is about 559.4211293829. The cubic root of 312952 is about 67.8931424335.

The spelling of 312952 in words is "three hundred twelve thousand, nine hundred fifty-two".