33213216 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 10333440.

The previous prime is 33213211. The next prime is 33213217. The reversal of 33213216 is 61231233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33213216² = 2206235434125312, 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 = 33213192 and 33213201.

It is not an unprimeable number, because it can be changed into a prime (33213211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238875 + ... + 239013.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 2^33213216 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 33213216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

33213216 is an abundant number, since it is smaller than the sum of its proper divisors (59925984).

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

33213216 is a wasteful number, since it uses less digits than its factorization.

33213216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

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

The square root of 33213216 is about 5763.0908373893. The cubic root of 33213216 is about 321.4427562276.

Adding to 33213216 its reverse (61231233), we get a palindrome (94444449).

The spelling of 33213216 in words is "thirty-three million, two hundred thirteen thousand, two hundred sixteen".