55593 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 35280.

The previous prime is 55589. The next prime is 55603. The reversal of 55593 is 39555.

55593 is nontrivially palindromic in base 8.

55593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55593 - 2² = 55589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55793) 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, 748 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁵⁵⁵⁹³ is an apocalyptic number.

It is an amenable number.

55593 is a deficient number, since it is larger than the sum of its proper divisors (30807).

55593 is a wasteful number, since it uses less digits than its factorization.

55593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its digits is 3375, while the sum is 27.

The square root of 55593 is about 235.7816786775. The cubic root of 55593 is about 38.1657121310.

It can be divided in two parts, 555 and 93, that multiplied together give a palindrome (51615).

The spelling of 55593 in words is "fifty-five thousand, five hundred ninety-three".