315346564 has 27 divisors (see below), whose sum is σ = 598448613. Its totient is φ = 145331472.

The previous prime is 315346541. The next prime is 315346567. The reversal of 315346564 is 465643513.

The square root of 315346564 is 17758.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46648900 + 268697664 = 6830^2 + 16392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315346567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 461367 + ... + 462049.

Almost surely, 2^315346564 is an apocalyptic number.

315346564 is the 17758-th square number.

It is an amenable number.

315346564 is a deficient number, since it is larger than the sum of its proper divisors (283102049).

315346564 is an equidigital number, since it uses as much as digits as its factorization.

315346564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The cubic root of 315346564 is about 680.6586495984.

Multiplying 315346564 by its product of digits (129600), we get a square (40868914694400 = 6392880²).

The spelling of 315346564 in words is "three hundred fifteen million, three hundred forty-six thousand, five hundred sixty-four".