312976 has 20 divisors (see below), whose sum is σ = 626944. Its totient is φ = 151200.

The previous prime is 312971. The next prime is 312979. The reversal of 312976 is 679213.

312976 is an admirable number.

It is a congruent number.

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

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 in 3 ways as a sum of consecutive naturals, for example, 181 + ... + 811.

2³¹²⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313472).

312976 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

312976 is a wasteful number, since it uses less digits than its factorization.

312976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 312976 is about 559.4425797166. The cubic root of 312976 is about 67.8948779433.

The spelling of 312976 in words is "three hundred twelve thousand, nine hundred seventy-six".