315951 has 16 divisors (see below), whose sum is σ = 464640. Its totient is φ = 190080.

The previous prime is 315949. The next prime is 315961. The reversal of 315951 is 159513.

315951 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 315951 - 2¹ = 315949 is a prime.

315951 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315951.

It is not an unprimeable number, because it can be changed into a prime (315961) 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, 1191 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (29040).

2³¹⁵⁹⁵¹ is an apocalyptic number.

315951 is the 356-th centered pentagonal number.

315951 is a deficient number, since it is larger than the sum of its proper divisors (148689).

315951 is a wasteful number, since it uses less digits than its factorization.

315951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286.

The product of its digits is 675, while the sum is 24.

The square root of 315951 is about 562.0951876684. The cubic root of 315951 is about 68.1093252942.

It can be divided in two parts, 31 and 5951, that multiplied together give a palindrome (184481).

The spelling of 315951 in words is "three hundred fifteen thousand, nine hundred fifty-one".