315905 has 16 divisors (see below), whose sum is σ = 411264. Its totient is φ = 232320.

The previous prime is 315899. The next prime is 315907. The reversal of 315905 is 509513.

It is not a de Polignac number, because 315905 - 2¹⁴ = 299521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315905.

It is not an unprimeable number, because it can be changed into a prime (315907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4682 + ... + 4748.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2³¹⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

315905 is a deficient number, since it is larger than the sum of its proper divisors (95359).

315905 is a wasteful number, since it uses less digits than its factorization.

315905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 315905 is about 562.0542678425. The cubic root of 315905 is about 68.1060197384.

The spelling of 315905 in words is "three hundred fifteen thousand, nine hundred five".