55759 has 8 divisors (see below), whose sum is σ = 62928. Its totient is φ = 48960.

The previous prime is 55733. The next prime is 55763. The reversal of 55759 is 95755.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 55759 - 2⁷ = 55631 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (7866).

2⁵⁵⁷⁵⁹ is an apocalyptic number.

55759 is a deficient number, since it is larger than the sum of its proper divisors (7169).

55759 is a wasteful number, since it uses less digits than its factorization.

55759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its digits is 7875, while the sum is 31.

The square root of 55759 is about 236.1334368530. The cubic root of 55759 is about 38.2036618293.

It can be divided in two parts, 557 and 59, that added together give a palindrome (616).

The spelling of 55759 in words is "fifty-five thousand, seven hundred fifty-nine".