88825 has 24 divisors (see below), whose sum is σ = 133920. Its totient is φ = 57600.

The previous prime is 88819. The next prime is 88843. The reversal of 88825 is 52888.

88825 = 35² + 36² + ... + 67².

It is not a de Polignac number, because 88825 - 2³ = 88817 is a prime.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4666 + ... + 4684.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁸⁸⁸²⁵ is an apocalyptic number.

88825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

88825 is a deficient number, since it is larger than the sum of its proper divisors (45095).

88825 is a wasteful number, since it uses less digits than its factorization.

88825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 52 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 88825 is about 298.0352328165. The cubic root of 88825 is about 44.6181684442.

Subtracting from 88825 its reverse (52888), we obtain a cube (35937 = 33³).

The spelling of 88825 in words is "eighty-eight thousand, eight hundred twenty-five".