90885 has 16 divisors (see below), whose sum is σ = 149184. Its totient is φ = 47232.

The previous prime is 90863. The next prime is 90887. The reversal of 90885 is 58809.

It is not a de Polignac number, because 90885 - 2⁶ = 90821 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90885.

It is not an unprimeable number, because it can be changed into a prime (90887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2⁹⁰⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

90885 is a deficient number, since it is larger than the sum of its proper divisors (58299).

90885 is a wasteful number, since it uses less digits than its factorization.

90885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 90885 is about 301.4713916776. The cubic root of 90885 is about 44.9604590933.

The spelling of 90885 in words is "ninety thousand, eight hundred eighty-five".