315817984 has 68 divisors (see below), whose sum is σ = 650112160. Its totient is φ = 153354240.

The previous prime is 315817979. The next prime is 315818003. The reversal of 315817984 is 489718513.

It is a happy number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3997657 + ... + 3997735.

Almost surely, 2^315817984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325056080).

315817984 is an abundant number, since it is smaller than the sum of its proper divisors (334294176).

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

315817984 is an frugal number, since it uses more digits than its factorization.

315817984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 315817984 is about 17771.2684972120. The cubic root of 315817984 is about 680.9976589873.

The spelling of 315817984 in words is "three hundred fifteen million, eight hundred seventeen thousand, nine hundred eighty-four".