55055 has 24 divisors (see below), whose sum is σ = 89376. Its totient is φ = 31680.

The previous prime is 55051. The next prime is 55057.

It is a happy number.

55055 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55055 - 2² = 55051 is a prime.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4229 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

2⁵⁵⁰⁵⁵ is an apocalyptic number.

55055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55055 is a deficient number, since it is larger than the sum of its proper divisors (34321).

55055 is a wasteful number, since it uses less digits than its factorization.

55055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 55055 is about 234.6380190847. The cubic root of 55055 is about 38.0421968927.

The spelling of 55055 in words is "fifty-five thousand, fifty-five".