90330 has 16 divisors (see below), whose sum is σ = 216864. Its totient is φ = 24080.

The previous prime is 90313. The next prime is 90353. The reversal of 90330 is 3309.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1476 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (13554).

2⁹⁰³³⁰ is an apocalyptic number.

90330 is an abundant number, since it is smaller than the sum of its proper divisors (126534).

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 (108432).

90330 is a wasteful number, since it uses less digits than its factorization.

90330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 90330 is about 300.5494967555. The cubic root of 90330 is about 44.8687533818.

Adding to 90330 its reverse (3309), we get a palindrome (93639).

The spelling of 90330 in words is "ninety thousand, three hundred thirty".