90321 has 32 divisors (see below), whose sum is σ = 165888. Its totient is φ = 42240.

The previous prime is 90313. The next prime is 90353. The reversal of 90321 is 12309.

It is not a de Polignac number, because 90321 - 2³ = 90313 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90321.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90321.

It is not an unprimeable number, because it can be changed into a prime (90371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3916 + ... + 3938.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁹⁰³²¹ is an apocalyptic number.

90321 is the 161-st nonagonal number.

It is an amenable number.

90321 is a deficient number, since it is larger than the sum of its proper divisors (75567).

90321 is a wasteful number, since it uses less digits than its factorization.

90321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 90321 is about 300.5345238072. The cubic root of 90321 is about 44.8672631712.

The spelling of 90321 in words is "ninety thousand, three hundred twenty-one".