33075216 has 120 divisors (see below), whose sum is σ = 98577024. Its totient is φ = 10730880.

The previous prime is 33075199. The next prime is 33075221. The reversal of 33075216 is 61257033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 33075216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182646 + ... + 182826.

Almost surely, 2^33075216 is an apocalyptic number.

33075216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33075216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49288512).

33075216 is an abundant number, since it is smaller than the sum of its proper divisors (65501808).

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

33075216 is a wasteful number, since it uses less digits than its factorization.

33075216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 33075216 is about 5751.1056328327. The cubic root of 33075216 is about 320.9969429353.

The spelling of 33075216 in words is "thirty-three million, seventy-five thousand, two hundred sixteen".