88257 has 16 divisors (see below), whose sum is σ = 132608. Its totient is φ = 51840.

The previous prime is 88241. The next prime is 88259. The reversal of 88257 is 75288.

It is not a de Polignac number, because 88257 - 2⁴ = 88241 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88257.

It is not an unprimeable number, because it can be changed into a prime (88259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (8288).

2⁸⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

88257 is a deficient number, since it is larger than the sum of its proper divisors (44351).

88257 is a wasteful number, since it uses less digits than its factorization.

88257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its digits is 4480, while the sum is 30.

The square root of 88257 is about 297.0807970906. The cubic root of 88257 is about 44.5228599460.

It can be divided in two parts, 882 and 57, that added together give a palindrome (939).

The spelling of 88257 in words is "eighty-eight thousand, two hundred fifty-seven".