31945104 has 75 divisors (see below), whose sum is σ = 93051057. Its totient is φ = 10580544.

The previous prime is 31945073. The next prime is 31945139. The reversal of 31945104 is 40154913.

The square root of 31945104 is 5652.

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., 9363600 + 22581504 = 3060^2 + 4752^2 .

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

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 203394 + ... + 203550.

Almost surely, 2^31945104 is an apocalyptic number.

31945104 is the 5652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31945104

31945104 is an abundant number, since it is smaller than the sum of its proper divisors (61105953).

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

31945104 is an equidigital number, since it uses as much as digits as its factorization.

31945104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 31945104 is about 317.2985607137.

The spelling of 31945104 in words is "thirty-one million, nine hundred forty-five thousand, one hundred four".