315700 has 72 divisors (see below), whose sum is σ = 874944. Its totient is φ = 96000.

The previous prime is 315697. The next prime is 315701. The reversal of 315700 is 7513.

It is a sliding number, since 315700 = 3200 + 312500 and 1/3200 + 1/312500 = 0.000315700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315701) 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, 7680 + ... + 7720.

It is an arithmetic number, because the mean of its divisors is an integer number (12152).

2³¹⁵⁷⁰⁰ 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 315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

315700 is an abundant number, since it is smaller than the sum of its proper divisors (559244).

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

315700 is a wasteful number, since it uses less digits than its factorization.

315700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 315700 is about 561.8718715152. The cubic root of 315700 is about 68.0912845541.

The spelling of 315700 in words is "three hundred fifteen thousand, seven hundred".