990033 has 16 divisors (see below), whose sum is σ = 1516800. Its totient is φ = 568080.

The previous prime is 990023. The next prime is 990037. The reversal of 990033 is 330099.

It is not a de Polignac number, because 990033 - 2⁵ = 990001 is a prime.

It is a Curzon number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 989985 and 990012.

It is not an unprimeable number, because it can be changed into a prime (990037) 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 15 ways as a sum of consecutive naturals, for example, 163 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (94800).

2⁹⁹⁰⁰³³ is an apocalyptic number.

It is an amenable number.

990033 is a deficient number, since it is larger than the sum of its proper divisors (526767).

990033 is a wasteful number, since it uses less digits than its factorization.

990033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 990033 is about 995.0040200924. The cubic root of 990033 is about 99.6666567239. Note that the first 4 decimals are identical.

The spelling of 990033 in words is "nine hundred ninety thousand, thirty-three".