312964 has 6 divisors (see below), whose sum is σ = 547694. Its totient is φ = 156480.

The previous prime is 312943. The next prime is 312967. The reversal of 312964 is 469213.

312964 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 1600 = 558^2 + 40^2 .

It is not an unprimeable number, because it can be changed into a prime (312967) 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 as a sum of consecutive naturals, namely, 39117 + ... + 39124.

2³¹²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

312964 is a deficient number, since it is larger than the sum of its proper divisors (234730).

312964 is a wasteful number, since it uses less digits than its factorization.

312964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78245 (or 78243 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 312964 is about 559.4318546526. The cubic root of 312964 is about 67.8940101995.

The spelling of 312964 in words is "three hundred twelve thousand, nine hundred sixty-four".