315585 has 12 divisors (see below), whose sum is σ = 547092. Its totient is φ = 168288.

The previous prime is 315569. The next prime is 315589. The reversal of 315585 is 585513.

It can be written as a sum of positive squares in 2 ways, for example, as 194481 + 121104 = 441^2 + 348^2 .

It is not a de Polignac number, because 315585 - 2⁴ = 315569 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 315585.

It is not an unprimeable number, because it can be changed into a prime (315589) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3462 + ... + 3551.

It is an arithmetic number, because the mean of its divisors is an integer number (45591).

2³¹⁵⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

315585 is a deficient number, since it is larger than the sum of its proper divisors (231507).

315585 is a wasteful number, since it uses less digits than its factorization.

315585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7021 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 315585 is about 561.7695256954. The cubic root of 315585 is about 68.0830156820.

It can be divided in two parts, 3155 and 85, that added together give a triangular number (3240 = T₈₀).

The spelling of 315585 in words is "three hundred fifteen thousand, five hundred eighty-five".