312953 has 8 divisors (see below), whose sum is σ = 340200. Its totient is φ = 286720.

The previous prime is 312943. The next prime is 312967. The reversal of 312953 is 359213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29929 + 283024 = 173^2 + 532^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312953 - 2⁴ = 312937 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312953.

It is not an unprimeable number, because it can be changed into a prime (312943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2³¹²⁹⁵³ is an apocalyptic number.

It is an amenable number.

312953 is a deficient number, since it is larger than the sum of its proper divisors (27247).

312953 is a wasteful number, since it uses less digits than its factorization.

312953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507.

The product of its digits is 810, while the sum is 23.

The square root of 312953 is about 559.4220231632. The cubic root of 312953 is about 67.8932147482.

The spelling of 312953 in words is "three hundred twelve thousand, nine hundred fifty-three".