90054 has 12 divisors (see below), whose sum is σ = 195156. Its totient is φ = 30012.

The previous prime is 90053. The next prime is 90059. The reversal of 90054 is 45009.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5003 = 90054 / (9 + 0 + 0 + 5 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90053) 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 5 ways as a sum of consecutive naturals, for example, 2484 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (16263).

2⁹⁰⁰⁵⁴ is an apocalyptic number.

90054 is an abundant number, since it is smaller than the sum of its proper divisors (105102).

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

90054 is a wasteful number, since it uses less digits than its factorization.

90054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5008 counting only the distinct ones).

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

The square root of 90054 is about 300.0899865040. The cubic root of 90054 is about 44.8230084831.

It can be divided in two parts, 9005 and 4, that added together give a palindrome (9009).

The spelling of 90054 in words is "ninety thousand, fifty-four".