57155 has 16 divisors (see below), whose sum is σ = 82944. Its totient is φ = 36960.

The previous prime is 57149. The next prime is 57163. The reversal of 57155 is 55175.

57155 = T₁ + T₂ + ... + T₆₉.

57155 is a nontrivial binomial coefficient, being equal to C(71, 3).

It is not a de Polignac number, because 57155 - 2⁴ = 57139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

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

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 57155.

It is an unprimeable number.

It is the 69-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁵⁷¹⁵⁵ is an apocalyptic number.

57155 is a deficient number, since it is larger than the sum of its proper divisors (25789).

57155 is a wasteful number, since it uses less digits than its factorization.

57155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106.

The product of its digits is 875, while the sum is 23.

The square root of 57155 is about 239.0711191257. The cubic root of 57155 is about 38.5198638150.

57155 divided by its sum of digits (23) gives a triangular number (2485 = T₇₀).

Subtracting from 57155 its product of digits (875), we obtain a triangular number (56280 = T₃₃₅).

It can be divided in two parts, 571 and 55, that added together give a palindrome (626).

The spelling of 57155 in words is "fifty-seven thousand, one hundred fifty-five".