315612 has 36 divisors (see below), whose sum is σ = 871416. Its totient is φ = 95520.

The previous prime is 315599. The next prime is 315613. The reversal of 315612 is 216513.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×315612² = 199221869088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315613) by changing a digit.

315612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2³¹⁵⁶¹² 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 315612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

315612 is an abundant number, since it is smaller than the sum of its proper divisors (555804).

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

315612 is a wasteful number, since it uses less digits than its factorization.

315612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 315612 is about 561.7935563888. The cubic root of 315612 is about 68.0849572498.

Subtracting from 315612 its reverse (216513), we obtain a palindrome (99099).

The spelling of 315612 in words is "three hundred fifteen thousand, six hundred twelve".