90258 has 24 divisors (see below), whose sum is σ = 210672. Its totient is φ = 25704.

The previous prime is 90247. The next prime is 90263. The reversal of 90258 is 85209.

It is an unprimeable number.

90258 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 11 ways as a sum of consecutive naturals, for example, 141 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

2⁹⁰²⁵⁸ is an apocalyptic number.

90258 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105336).

90258 is an abundant number, since it is smaller than the sum of its proper divisors (120414).

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

90258 is a wasteful number, since it uses less digits than its factorization.

90258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 90258 is about 300.4296922742. The cubic root of 90258 is about 44.8568289235.

It can be divided in two parts, 90 and 258, that multiplied together give a triangular number (23220 = T₂₁₅).

The spelling of 90258 in words is "ninety thousand, two hundred fifty-eight".