315968905 has 36 divisors (see below), whose sum is σ = 449410572. Its totient is φ = 212620800.

The previous prime is 315968903. The next prime is 315968911. The reversal of 315968905 is 509869513.

It can be written as a sum of positive squares in 6 ways, for example, as 54952569 + 261016336 = 7413^2 + 16156^2 .

It is not a de Polignac number, because 315968905 - 2¹ = 315968903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315968903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2796129 + ... + 2796241.

It is an arithmetic number, because the mean of its divisors is an integer number (12483627).

Almost surely, 2^315968905 is an apocalyptic number.

315968905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315968905 is a deficient number, since it is larger than the sum of its proper divisors (133441667).

315968905 is a wasteful number, since it uses less digits than its factorization.

315968905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The square root of 315968905 is about 17775.5141979072. The cubic root of 315968905 is about 681.1061185914.

The spelling of 315968905 in words is "three hundred fifteen million, nine hundred sixty-eight thousand, nine hundred five".