56595 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 23520.

The previous prime is 56591. The next prime is 56597. The reversal of 56595 is 59565.

56595 = T₁₅ + T₁₆ + ... + T₆₉.

56595 = 11² + 12² + ... + 55².

It is a happy number.

It is not a de Polignac number, because 56595 - 2² = 56591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5140 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁵⁶⁵⁹⁵ is an apocalyptic number.

56595 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56595 is an abundant number, since it is smaller than the sum of its proper divisors (58605).

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 (57600).

56595 is a wasteful number, since it uses less digits than its factorization.

56595 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 26 counting only the distinct ones).

The product of its digits is 6750, while the sum is 30.

The square root of 56595 is about 237.8970365515. The cubic root of 56595 is about 38.3936458670.

Subtracting from 56595 its sum of digits (30), we obtain a palindrome (56565).

The spelling of 56595 in words is "fifty-six thousand, five hundred ninety-five".