315684 has 48 divisors (see below), whose sum is σ = 851200. Its totient is φ = 101088.

The previous prime is 315677. The next prime is 315691. The reversal of 315684 is 486513.

It is an interprime number because it is at equal distance from previous prime (315677) and next prime (315691).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 315684.

It is an unprimeable number.

315684 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 3957 + ... + 4035.

2³¹⁵⁶⁸⁴ 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 315684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425600).

315684 is an abundant number, since it is smaller than the sum of its proper divisors (535516).

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

315684 is a wasteful number, since it uses less digits than its factorization.

315684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 315684 is about 561.8576332133. The cubic root of 315684 is about 68.0901342226.

It can be divided in two parts, 3156 and 84, that added together give a triangular number (3240 = T₈₀).

The spelling of 315684 in words is "three hundred fifteen thousand, six hundred eighty-four".