313905 has 16 divisors (see below), whose sum is σ = 532224. Its totient is φ = 157440.

The previous prime is 313897. The next prime is 313909. The reversal of 313905 is 509313.

313905 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 313905 - 2³ = 313897 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313905.

It is not an unprimeable number, because it can be changed into a prime (313909) 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, 361 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2³¹³⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

313905 is a deficient number, since it is larger than the sum of its proper divisors (218319).

313905 is a wasteful number, since it uses less digits than its factorization.

313905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 313905 is about 560.2722552474. The cubic root of 313905 is about 67.9619885598.

The spelling of 313905 in words is "three hundred thirteen thousand, nine hundred five".