315882 has 48 divisors (see below), whose sum is σ = 823680. Its totient is φ = 85536.

The previous prime is 315881. The next prime is 315883. The reversal of 315882 is 288513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315881) and next prime (315883).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315882.

It is not an unprimeable number, because it can be changed into a prime (315881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2844 + ... + 2952.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2³¹⁵⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411840).

315882 is an abundant number, since it is smaller than the sum of its proper divisors (507798).

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

315882 is a wasteful number, since it uses less digits than its factorization.

315882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 315882 is about 562.0338068124. The cubic root of 315882 is about 68.1043668401.

It can be divided in two parts, 3158 and 82, that added together give a triangular number (3240 = T₈₀).

The spelling of 315882 in words is "three hundred fifteen thousand, eight hundred eighty-two".