31564 has 12 divisors (see below), whose sum is σ = 59584. Its totient is φ = 14544.

The previous prime is 31547. The next prime is 31567. The reversal of 31564 is 46513.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (31567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252 + ... + 355.

2³¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

31564 is a deficient number, since it is larger than the sum of its proper divisors (28020).

31564 is a wasteful number, since it uses less digits than its factorization.

31564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 622 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 31564 is about 177.6626015795. The cubic root of 31564 is about 31.6031722500.

It can be divided in two parts, 3156 and 4, that added together give a triangular number (3160 = T₇₉).

The spelling of 31564 in words is "thirty-one thousand, five hundred sixty-four".