312957 has 16 divisors (see below), whose sum is σ = 473280. Its totient is φ = 204336.

The previous prime is 312943. The next prime is 312967. The reversal of 312957 is 759213.

It is not a de Polignac number, because 312957 - 2⁴ = 312941 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

312957 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 312957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1723 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (29580).

2³¹²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

312957 is a deficient number, since it is larger than the sum of its proper divisors (160323).

312957 is a wasteful number, since it uses less digits than its factorization.

312957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 312957 is about 559.4255982702. The cubic root of 312957 is about 67.8935040054.

The spelling of 312957 in words is "three hundred twelve thousand, nine hundred fifty-seven".