88785 has 12 divisors (see below), whose sum is σ = 153972. Its totient is φ = 47328.

The previous prime is 88771. The next prime is 88789. The reversal of 88785 is 58788.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 63504 = 159^2 + 252^2 .

It is not a de Polignac number, because 88785 - 2⁶ = 88721 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88785.

It is not an unprimeable number, because it can be changed into a prime (88789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (12831).

2⁸⁸⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

88785 is a deficient number, since it is larger than the sum of its proper divisors (65187).

88785 is a wasteful number, since it uses less digits than its factorization.

88785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1981 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 88785 is about 297.9681191000. The cubic root of 88785 is about 44.6114698995.

The spelling of 88785 in words is "eighty-eight thousand, seven hundred eighty-five".