312957953 has 12 divisors (see below), whose sum is σ = 397149552. Its totient is φ = 243862920.

The previous prime is 312957917. The next prime is 312957971. The reversal of 312957953 is 359759213.

It is not a de Polignac number, because 312957953 - 2¹⁴ = 312941569 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312957973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289775 + ... + 290852.

It is an arithmetic number, because the mean of its divisors is an integer number (33095796).

Almost surely, 2^312957953 is an apocalyptic number.

It is an amenable number.

312957953 is a deficient number, since it is larger than the sum of its proper divisors (84191599).

312957953 is a wasteful number, since it uses less digits than its factorization.

312957953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580652 (or 580645 counting only the distinct ones).

The product of its digits is 255150, while the sum is 44.

The square root of 312957953 is about 17690.6176545648. The cubic root of 312957953 is about 678.9357292055.

The spelling of 312957953 in words is "three hundred twelve million, nine hundred fifty-seven thousand, nine hundred fifty-three".