90538 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 37296.

The previous prime is 90533. The next prime is 90547. The reversal of 90538 is 83509.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (90533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁹⁰⁵³⁸ is an apocalyptic number.

90538 is a deficient number, since it is larger than the sum of its proper divisors (70742).

90538 is a wasteful number, since it uses less digits than its factorization.

90538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 90538 is about 300.8953306384. The cubic root of 90538 is about 44.9031662623.

The spelling of 90538 in words is "ninety thousand, five hundred thirty-eight".