9900033 has 32 divisors (see below), whose sum is σ = 15869952. Its totient is φ = 5409600.

The previous prime is 9899999. The next prime is 9900047. The reversal of 9900033 is 3300099.

It is not a de Polignac number, because 9900033 - 2¹⁰ = 9899009 is a prime.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9899976 and 9900012.

It is not an unprimeable number, because it can be changed into a prime (9900533) 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, 19918 + ... + 20408.

It is an arithmetic number, because the mean of its divisors is an integer number (495936).

It is a Proth number, since it is equal to 2417 ⋅ 2¹² + 1 and 2417 < 2¹².

Almost surely, 2^9900033 is an apocalyptic number.

It is an amenable number.

9900033 is a deficient number, since it is larger than the sum of its proper divisors (5969919).

9900033 is a wasteful number, since it uses less digits than its factorization.

9900033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

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

The square root of 9900033 is about 3146.4317885503. The cubic root of 9900033 is about 214.7231554826.

The spelling of 9900033 in words is "nine million, nine hundred thousand, thirty-three".