53592 has 64 divisors (see below), whose sum is σ = 172800. Its totient is φ = 13440.

The previous prime is 53591. The next prime is 53593. The reversal of 53592 is 29535.

It is an interprime number because it is at equal distance from previous prime (53591) and next prime (53593).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53592.

It is not an unprimeable number, because it can be changed into a prime (53591) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1834 + ... + 1862.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2⁵³⁵⁹² is an apocalyptic number.

It is a pronic number, being equal to 231×232.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

53592 is an abundant number, since it is smaller than the sum of its proper divisors (119208).

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

53592 is a wasteful number, since it uses less digits than its factorization.

53592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 53592 is about 231.4994600426. The cubic root of 53592 is about 37.7021967026.

The spelling of 53592 in words is "fifty-three thousand, five hundred ninety-two".