563972 has 12 divisors (see below), whose sum is σ = 992460. Its totient is φ = 280416.

The previous prime is 563971. The next prime is 563987. The reversal of 563972 is 279365.

It can be written as a sum of positive squares in 2 ways, for example, as 276676 + 287296 = 526^2 + 536^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563971) by changing a digit.

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, 854 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (82705).

2⁵⁶³⁹⁷² is an apocalyptic number.

It is an amenable number.

563972 is a deficient number, since it is larger than the sum of its proper divisors (428488).

563972 is a wasteful number, since it uses less digits than its factorization.

563972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 563972 is about 750.9806921619. The cubic root of 563972 is about 82.6201249753.

The spelling of 563972 in words is "five hundred sixty-three thousand, nine hundred seventy-two".