315945 has 48 divisors (see below), whose sum is σ = 673920. Its totient is φ = 133632.

The previous prime is 315937. The next prime is 315949. The reversal of 315945 is 549513.

It is not a de Polignac number, because 315945 - 2³ = 315937 is a prime.

It is a super-4 number, since 4×315945⁴ (a number of 23 digits) contains 4444 as substring.

315945 is a modest number, since divided by 945 gives 315 as remainder.

It is not an unprimeable number, because it can be changed into a prime (315949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5326 + ... + 5384.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2³¹⁵⁹⁴⁵ is an apocalyptic number.

315945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315945 is an abundant number, since it is smaller than the sum of its proper divisors (357975).

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

315945 is a wasteful number, since it uses less digits than its factorization.

315945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 91 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 315945 is about 562.0898504688. The cubic root of 315945 is about 68.1088941529.

Multiplying 315945 by its sum of digits (27), we get a triangular number (8530515 = T₄₁₃₀).

The spelling of 315945 in words is "three hundred fifteen thousand, nine hundred forty-five".