90012 has 24 divisors (see below), whose sum is σ = 226576. Its totient is φ = 27648.

The previous prime is 90011. The next prime is 90017. The reversal of 90012 is 21009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 90012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90011) 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 7 ways as a sum of consecutive naturals, for example, 133 + ... + 444.

2⁹⁰⁰¹² is an apocalyptic number.

It is an amenable number.

90012 is an abundant number, since it is smaller than the sum of its proper divisors (136564).

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 (113288).

90012 is a wasteful number, since it uses less digits than its factorization.

90012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 90012 is about 300.0199993334. The cubic root of 90012 is about 44.8160391125.

Subtracting from 90012 its sum of digits (12), we obtain a square (90000 = 300²).

The spelling of 90012 in words is "ninety thousand, twelve".