56586 has 8 divisors (see below), whose sum is σ = 113184. Its totient is φ = 18860.

The previous prime is 56569. The next prime is 56591. The reversal of 56586 is 68565.

56586 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

56586 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is an unprimeable number.

56586 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4710 + ... + 4721.

It is an arithmetic number, because the mean of its divisors is an integer number (14148).

2⁵⁶⁵⁸⁶ is an apocalyptic number.

56586 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (56592).

56586 is a wasteful number, since it uses less digits than its factorization.

56586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436.

The product of its digits is 7200, while the sum is 30.

The square root of 56586 is about 237.8781200531. The cubic root of 56586 is about 38.3916105805.

Adding to 56586 its sum of digits (30), we get a triangular number (56616 = T₃₃₆).

The spelling of 56586 in words is "fifty-six thousand, five hundred eighty-six".