90052 has 12 divisors (see below), whose sum is σ = 161280. Its totient is φ = 43976.

The previous prime is 90031. The next prime is 90053. The reversal of 90052 is 25009.

90052 is nontrivially palindromic in base 12.

It is not an unprimeable number, because it can be changed into a prime (90053) by changing a digit.

90052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2⁹⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

90052 is a deficient number, since it is larger than the sum of its proper divisors (71228).

90052 is a wasteful number, since it uses less digits than its factorization.

90052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 90052 is about 300.0866541518. The cubic root of 90052 is about 44.8226766575.

The spelling of 90052 in words is "ninety thousand, fifty-two".