55165 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 37120.

The previous prime is 55163. The next prime is 55171. The reversal of 55165 is 56155.

55165 = T₁₀₀ + T₁₀₁ + ... + T₁₀₉.

55165 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 55165 - 2¹ = 55163 is a prime.

55165 is a modest number, since divided by 165 gives 55 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55163) 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, 906 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁵⁵¹⁶⁵ is an apocalyptic number.

55165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55165 is a deficient number, since it is larger than the sum of its proper divisors (22595).

55165 is a wasteful number, since it uses less digits than its factorization.

55165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its digits is 750, while the sum is 22.

The square root of 55165 is about 234.8723057323. The cubic root of 55165 is about 38.0675161660.

Subtracting 55165 from its reverse (56155), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 551 and 65, that added together give a palindrome (616).

The spelling of 55165 in words is "fifty-five thousand, one hundred sixty-five".