57255 has 16 divisors (see below), whose sum is σ = 100224. Its totient is φ = 27680.

The previous prime is 57251. The next prime is 57259. The reversal of 57255 is 55275.

57255 = 105² + 106² + ... + 109².

It is an interprime number because it is at equal distance from previous prime (57251) and next prime (57259).

It is not a de Polignac number, because 57255 - 2² = 57251 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57251) 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, 9 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (6264).

2⁵⁷²⁵⁵ is an apocalyptic number.

57255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57255 is a deficient number, since it is larger than the sum of its proper divisors (42969).

57255 is a wasteful number, since it uses less digits than its factorization.

57255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its digits is 1750, while the sum is 24.

The square root of 57255 is about 239.2801705115. The cubic root of 57255 is about 38.5423158725.

It can be divided in two parts, 57 and 255, that multiplied together give a triangular number (14535 = T₁₇₀).

The spelling of 57255 in words is "fifty-seven thousand, two hundred fifty-five".