90033 has 4 divisors (see below), whose sum is σ = 120048. Its totient is φ = 60020.

The previous prime is 90031. The next prime is 90053. The reversal of 90033 is 33009.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33009 = 3 ⋅11003.

It is a cyclic number.

It is not a de Polignac number, because 90033 - 2¹ = 90031 is a prime.

It is a D-number.

90033 is a modest number, since divided by 33 gives 9 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 89994 and 90021.

It is not an unprimeable number, because it can be changed into a prime (90031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15003 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (30012).

2⁹⁰⁰³³ is an apocalyptic number.

It is an amenable number.

90033 is a deficient number, since it is larger than the sum of its proper divisors (30015).

90033 is a wasteful number, since it uses less digits than its factorization.

90033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30014.

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

The square root of 90033 is about 300.0549949593. The cubic root of 90033 is about 44.8195240687.

The spelling of 90033 in words is "ninety thousand, thirty-three".