315964242 has 48 divisors (see below), whose sum is σ = 754123968. Its totient is φ = 94811040.

The previous prime is 315964237. The next prime is 315964247. The reversal of 315964242 is 242469513.

It is a happy number.

315964242 is a `hidden beast` number, since 3 + 1 + 5 + 9 + 642 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (315964237) and next prime (315964247).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 315964197 and 315964206.

It is not an unprimeable number, because it can be changed into a prime (315964247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12648 + ... + 28140.

It is an arithmetic number, because the mean of its divisors is an integer number (15710916).

Almost surely, 2^315964242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315964242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377061984).

315964242 is an abundant number, since it is smaller than the sum of its proper divisors (438159726).

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

315964242 is a wasteful number, since it uses less digits than its factorization.

315964242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15615 (or 15612 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 315964242 is about 17775.3830338477. The cubic root of 315964242 is about 681.1027680366.

The spelling of 315964242 in words is "three hundred fifteen million, nine hundred sixty-four thousand, two hundred forty-two".