563984 has 20 divisors (see below), whose sum is σ = 1106700. Its totient is φ = 278400.

The previous prime is 563971. The next prime is 563987. The reversal of 563984 is 489365.

It can be written as a sum of positive squares in 2 ways, for example, as 490000 + 73984 = 700^2 + 272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563987) 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, 1442 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (55335).

2⁵⁶³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

563984 is a deficient number, since it is larger than the sum of its proper divisors (542716).

563984 is a wasteful number, since it uses less digits than its factorization.

563984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 563984 is about 750.9886816724. The cubic root of 563984 is about 82.6207109586.

The spelling of 563984 in words is "five hundred sixty-three thousand, nine hundred eighty-four".