333993216 has 72 divisors (see below), whose sum is σ = 910675584. Its totient is φ = 108605440.

The previous prime is 333993197. The next prime is 333993217. The reversal of 333993216 is 612399333.

It is a happy number.

It is a super-2 number, since 2×333993216² = 223102936668045312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333993217) 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 7 ways as a sum of consecutive naturals, for example, 26185 + ... + 36791.

It is an arithmetic number, because the mean of its divisors is an integer number (12648272).

Almost surely, 2^333993216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455337792).

333993216 is an abundant number, since it is smaller than the sum of its proper divisors (576682368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

333993216 is a wasteful number, since it uses less digits than its factorization.

333993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10667 (or 10653 counting only the distinct ones).

The product of its digits is 78732, while the sum is 39.

The square root of 333993216 is about 18275.4812795724. The cubic root of 333993216 is about 693.8185098481.

The spelling of 333993216 in words is "three hundred thirty-three million, nine hundred ninety-three thousand, two hundred sixteen".