55575 has 36 divisors (see below), whose sum is σ = 112840. Its totient is φ = 25920.

The previous prime is 55547. The next prime is 55579. The reversal of 55575 is 57555.

55575 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 55575 - 2⁶ = 55511 is a prime.

It is a nialpdrome in base 9.

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 55575.

It is not an unprimeable number, because it can be changed into a prime (55579) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2916 + ... + 2934.

2⁵⁵⁵⁷⁵ is an apocalyptic number.

55575 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (56420).

55575 is a wasteful number, since it uses less digits than its factorization.

55575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 40 counting only the distinct ones).

The product of its digits is 4375, while the sum is 27.

The square root of 55575 is about 235.7435046825. The cubic root of 55575 is about 38.1615925657.

It can be divided in two parts, 555 and 75, that added together give a triangular number (630 = T₃₅).

The spelling of 55575 in words is "fifty-five thousand, five hundred seventy-five".