315952 has 60 divisors (see below), whose sum is σ = 791616. Its totient is φ = 120960.

The previous prime is 315949. The next prime is 315961. The reversal of 315952 is 259513.

It is a nialpdrome in base 14.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 10177 + ... + 10207.

2³¹⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395808).

315952 is an abundant number, since it is smaller than the sum of its proper divisors (475664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315952 is a wasteful number, since it uses less digits than its factorization.

315952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 315952 is about 562.0960771968. The cubic root of 315952 is about 68.1093971506.

It can be divided in two parts, 31595 and 2, that multiplied together give a triangular number (63190 = T₃₅₅).

The spelling of 315952 in words is "three hundred fifteen thousand, nine hundred fifty-two".