315822321 has 20 divisors (see below), whose sum is σ = 473329252. Its totient is φ = 209858688.

The previous prime is 315822289. The next prime is 315822349. The reversal of 315822321 is 123228513.

315822321 is a `hidden beast` number, since 315 + 8 + 22 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103245921 + 212576400 = 10161^2 + 14580^2 .

It is not a de Polignac number, because 315822321 - 2⁵ = 315822289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315822371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19125 + ... + 31581.

Almost surely, 2^315822321 is an apocalyptic number.

It is an amenable number.

315822321 is a deficient number, since it is larger than the sum of its proper divisors (157506931).

315822321 is a wasteful number, since it uses less digits than its factorization.

315822321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12782 (or 12773 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 315822321 is about 17771.3905195964. The cubic root of 315822321 is about 681.0007762610. Note that the first 3 decimals are identical.

The spelling of 315822321 in words is "three hundred fifteen million, eight hundred twenty-two thousand, three hundred twenty-one".