9905233 has 8 divisors (see below), whose sum is σ = 10956008. Its totient is φ = 8895744.

The previous prime is 9905221. The next prime is 9905239. The reversal of 9905233 is 3325099.

9905233 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4443664 + 5461569 = 2108^2 + 2337^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-9905233 is a prime.

It is a super-2 number, since 2×9905233² = 196227281568578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9905195 and 9905204.

It is not an unprimeable number, because it can be changed into a prime (9905239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9816 + ... + 10777.

It is an arithmetic number, because the mean of its divisors is an integer number (1369501).

Almost surely, 2^9905233 is an apocalyptic number.

It is an amenable number.

9905233 is a deficient number, since it is larger than the sum of its proper divisors (1050775).

9905233 is a wasteful number, since it uses less digits than its factorization.

9905233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20643.

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 9905233 is about 3147.2580129376. The cubic root of 9905233 is about 214.7607434036.

The spelling of 9905233 in words is "nine million, nine hundred five thousand, two hundred thirty-three".