88123825 has 24 divisors (see below), whose sum is σ = 114671232. Its totient is φ = 67101120.

The previous prime is 88123823. The next prime is 88123853. The reversal of 88123825 is 52832188.

It is not a de Polignac number, because 88123825 - 2¹ = 88123823 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88123823) by changing a digit.

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, 42462 + ... + 44488.

It is an arithmetic number, because the mean of its divisors is an integer number (4777968).

Almost surely, 2^88123825 is an apocalyptic number.

It is an amenable number.

88123825 is a deficient number, since it is larger than the sum of its proper divisors (26547407).

88123825 is a wasteful number, since it uses less digits than its factorization.

88123825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2116 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 88123825 is about 9387.4290942728. The cubic root of 88123825 is about 445.0045448343.

The spelling of 88123825 in words is "eighty-eight million, one hundred twenty-three thousand, eight hundred twenty-five".