312944 has 10 divisors (see below), whose sum is σ = 606360. Its totient is φ = 156464.

The previous prime is 312943. The next prime is 312967. The reversal of 312944 is 449213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9764 + ... + 9795.

It is an arithmetic number, because the mean of its divisors is an integer number (60636).

2³¹²⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

312944 is a deficient number, since it is larger than the sum of its proper divisors (293416).

312944 is a wasteful number, since it uses less digits than its factorization.

312944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19567 (or 19561 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 312944 is about 559.4139790888. The cubic root of 312944 is about 67.8925639106.

It can be divided in two parts, 312 and 944, that multiplied together give a triangular number (294528 = T₇₆₇).

The spelling of 312944 in words is "three hundred twelve thousand, nine hundred forty-four".