53599 has 16 divisors (see below), whose sum is σ = 71680. Its totient is φ = 38880.

The previous prime is 53597. The next prime is 53609. The reversal of 53599 is 99535.

53599 = 92² + 93² + ... + 97².

It is a cyclic number.

It is not a de Polignac number, because 53599 - 2¹ = 53597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 53599.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714 + ... + 1744.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2⁵³⁵⁹⁹ is an apocalyptic number.

53599 is a deficient number, since it is larger than the sum of its proper divisors (18081).

53599 is a wasteful number, since it uses less digits than its factorization.

53599 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70.

The product of its digits is 6075, while the sum is 31.

The square root of 53599 is about 231.5145783747. The cubic root of 53599 is about 37.7038381409.

Subtracting from 53599 its product of digits (6075), we obtain a square (47524 = 218²).

The spelling of 53599 in words is "fifty-three thousand, five hundred ninety-nine".