563964 has 12 divisors (see below), whose sum is σ = 1315944. Its totient is φ = 187984.

The previous prime is 563947. The next prime is 563971. The reversal of 563964 is 469365.

563964 = 262² + 263² + ... + 269².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23487 + ... + 23510.

It is an arithmetic number, because the mean of its divisors is an integer number (109662).

2⁵⁶³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

563964 is an abundant number, since it is smaller than the sum of its proper divisors (751980).

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

563964 is a wasteful number, since it uses less digits than its factorization.

563964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47004 (or 47002 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 563964 is about 750.9753657744. The cubic root of 563964 is about 82.6197343152.

The spelling of 563964 in words is "five hundred sixty-three thousand, nine hundred sixty-four".