312945 has 16 divisors (see below), whose sum is σ = 517632. Its totient is φ = 161280.

The previous prime is 312943. The next prime is 312967. The reversal of 312945 is 549213.

It is not a de Polignac number, because 312945 - 2¹ = 312943 is a prime.

312945 is a lucky 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 in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (32352).

2³¹²⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

312945 is a deficient number, since it is larger than the sum of its proper divisors (204687).

312945 is a wasteful number, since it uses less digits than its factorization.

312945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712.

The product of its digits is 1080, while the sum is 24.

The square root of 312945 is about 559.4148728806. The cubic root of 312945 is about 67.8926362265.

The spelling of 312945 in words is "three hundred twelve thousand, nine hundred forty-five".