56532 has 24 divisors (see below), whose sum is σ = 150976. Its totient is φ = 16128.

The previous prime is 56531. The next prime is 56533. The reversal of 56532 is 23565.

It is an interprime number because it is at equal distance from previous prime (56531) and next prime (56533).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 56499 and 56508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56531) 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, 253 + ... + 420.

2⁵⁶⁵³² is an apocalyptic number.

It is an amenable number.

56532 is an abundant number, since it is smaller than the sum of its proper divisors (94444).

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 (75488).

56532 is a wasteful number, since it uses less digits than its factorization.

56532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 56532 is about 237.7645894577. The cubic root of 56532 is about 38.3793943268.

It can be divided in two parts, 56 and 532, that multiplied together give a palindrome (29792).

The spelling of 56532 in words is "fifty-six thousand, five hundred thirty-two".