312992 has 12 divisors (see below), whose sum is σ = 616266. Its totient is φ = 156480.

The previous prime is 312989. The next prime is 313003. The reversal of 312992 is 299213.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 38416 = 524^2 + 196^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4859 + ... + 4922.

2³¹²⁹⁹² is an apocalyptic number.

312992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312992 is a deficient number, since it is larger than the sum of its proper divisors (303274).

312992 is an equidigital number, since it uses as much as digits as its factorization.

312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9783 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 312992 is about 559.4568794822. The cubic root of 312992 is about 67.8960349005.

The spelling of 312992 in words is "three hundred twelve thousand, nine hundred ninety-two".