55755 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 25056.

The previous prime is 55733. The next prime is 55763.

55755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55755 - 2⁶ = 55691 is a prime.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁵⁵⁷⁵⁵ is an apocalyptic number.

55755 is an abundant number, since it is smaller than the sum of its proper divisors (59445).

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 (57600).

55755 is a wasteful number, since it uses less digits than its factorization.

55755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

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

The square root of 55755 is about 236.1249669137. The cubic root of 55755 is about 38.2027482649.

The spelling of 55755 in words is "fifty-five thousand, seven hundred fifty-five".