33321216 has 72 divisors (see below), whose sum is σ = 90835360. Its totient is φ = 10838016.

The previous prime is 33321199. The next prime is 33321229. The reversal of 33321216 is 61212333.

It is a super-2 number, since 2×33321216² = 2220606871437312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33321192 and 33321201.

It is an unprimeable number.

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, 32520 + ... + 33528.

Almost surely, 2^33321216 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 33321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45417680).

33321216 is an abundant number, since it is smaller than the sum of its proper divisors (57514144).

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

33321216 is a wasteful number, since it uses less digits than its factorization.

33321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1057 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 33321216 is about 5772.4532046609. The cubic root of 33321216 is about 321.7907929532.

Adding to 33321216 its reverse (61212333), we get a palindrome (94533549).

The spelling of 33321216 in words is "thirty-three million, three hundred twenty-one thousand, two hundred sixteen".