315008 has 32 divisors (see below), whose sum is σ = 660960. Its totient is φ = 149248.

The previous prime is 314989. The next prime is 315011. The reversal of 315008 is 800513.

315008 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

315008 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 3 ways as a sum of consecutive naturals, for example, 2891 + ... + 2997.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2³¹⁵⁰⁰⁸ 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 315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330480).

315008 is an abundant number, since it is smaller than the sum of its proper divisors (345952).

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

315008 is a wasteful number, since it uses less digits than its factorization.

315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 315008 is about 561.2557349373. The cubic root of 315008 is about 68.0414971625.

The spelling of 315008 in words is "three hundred fifteen thousand, eight".