88935 has 36 divisors (see below), whose sum is σ = 181944. Its totient is φ = 36960.

The previous prime is 88919. The next prime is 88937. The reversal of 88935 is 53988.

It is not a de Polignac number, because 88935 - 2⁴ = 88919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 88896 and 88905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88937) 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 35 ways as a sum of consecutive naturals, for example, 8080 + ... + 8090.

It is an arithmetic number, because the mean of its divisors is an integer number (5054).

2⁸⁸⁹³⁵ is an apocalyptic number.

88935 is an abundant number, since it is smaller than the sum of its proper divisors (93009).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90972).

88935 is a wasteful number, since it uses less digits than its factorization.

88935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 26 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 88935 is about 298.2197176580. The cubic root of 88935 is about 44.6365790791.

Multiplying 88935 by its product of digits (8640), we get a square (768398400 = 27720²).

The spelling of 88935 in words is "eighty-eight thousand, nine hundred thirty-five".