90333 has 6 divisors (see below), whose sum is σ = 130494. Its totient is φ = 60216.

The previous prime is 90313. The next prime is 90353. The reversal of 90333 is 33309.

It is an interprime number because it is at equal distance from previous prime (90313) and next prime (90353).

It can be written as a sum of positive squares in only one way, i.e., 71289 + 19044 = 267^2 + 138^2 .

It is not a de Polignac number, because 90333 - 2⁹ = 89821 is a prime.

90333 is a modest number, since divided by 333 gives 90 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5010 + ... + 5027.

It is an arithmetic number, because the mean of its divisors is an integer number (21749).

2⁹⁰³³³ is an apocalyptic number.

It is an amenable number.

90333 is a deficient number, since it is larger than the sum of its proper divisors (40161).

90333 is a wasteful number, since it uses less digits than its factorization.

90333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 90333 is about 300.5544875726. The cubic root of 90333 is about 44.8692500967.

The spelling of 90333 in words is "ninety thousand, three hundred thirty-three".