56589 has 8 divisors (see below), whose sum is σ = 81312. Its totient is φ = 34800.

The previous prime is 56569. The next prime is 56591. The reversal of 56589 is 98565.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 56589 - 2⁸ = 56333 is a prime.

It is an alternating number because its digits alternate between odd and even.

56589 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2⁵⁶⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

56589 is a deficient number, since it is larger than the sum of its proper divisors (24723).

56589 is a wasteful number, since it uses less digits than its factorization.

56589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467.

The product of its digits is 10800, while the sum is 33.

The square root of 56589 is about 237.8844257197. The cubic root of 56589 is about 38.3922890333.

The spelling of 56589 in words is "fifty-six thousand, five hundred eighty-nine".