90045 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 44352.

The previous prime is 90031. The next prime is 90053. The reversal of 90045 is 54009.

It is not a de Polignac number, because 90045 - 2⁷ = 89917 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3091 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁹⁰⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

90045 is a deficient number, since it is larger than the sum of its proper divisors (82755).

90045 is a wasteful number, since it uses less digits than its factorization.

90045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 90045 is about 300.0749906273. The cubic root of 90045 is about 44.8215152290.

It can be divided in two parts, 9004 and 5, that added together give a palindrome (9009).

The spelling of 90045 in words is "ninety thousand, forty-five".