315216 has 60 divisors (see below), whose sum is σ = 967200. Its totient is φ = 95040.

The previous prime is 315199. The next prime is 315223. The reversal of 315216 is 612513.

It is a super-2 number, since 2×315216² = 198722253312, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (16120).

2³¹⁵²¹⁶ is an apocalyptic number.

315216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483600).

315216 is an abundant number, since it is smaller than the sum of its proper divisors (651984).

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

315216 is a wasteful number, since it uses less digits than its factorization.

315216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

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

The square root of 315216 is about 561.4410031339. The cubic root of 315216 is about 68.0564698166.

Adding to 315216 its reverse (612513), we get a palindrome (927729).

The spelling of 315216 in words is "three hundred fifteen thousand, two hundred sixteen".