88185825 has 144 divisors (see below), whose sum is σ = 200403840. Its totient is φ = 36080640.

The previous prime is 88185803. The next prime is 88185829. The reversal of 88185825 is 52858188.

It is not a de Polignac number, because 88185825 - 2²³ = 79797217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (204800) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88185829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1207989 + ... + 1208061.

Almost surely, 2^88185825 is an apocalyptic number.

It is an amenable number.

88185825 is an abundant number, since it is smaller than the sum of its proper divisors (112218015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88185825 is a wasteful number, since it uses less digits than its factorization.

88185825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 204800, while the sum is 45.

The square root of 88185825 is about 9390.7308022326. The cubic root of 88185825 is about 445.1088821645.

The spelling of 88185825 in words is "eighty-eight million, one hundred eighty-five thousand, eight hundred twenty-five".