56584 has 16 divisors (see below), whose sum is σ = 115920. Its totient is φ = 25680.

The previous prime is 56569. The next prime is 56591. The reversal of 56584 is 48565.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is an unprimeable number.

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, 234 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (7245).

2⁵⁶⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

56584 is an abundant number, since it is smaller than the sum of its proper divisors (59336).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57960).

56584 is a wasteful number, since it uses less digits than its factorization.

56584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 56584 is about 237.8739161825. The cubic root of 56584 is about 38.3911582652.

The spelling of 56584 in words is "fifty-six thousand, five hundred eighty-four".