33065216 has 36 divisors (see below), whose sum is σ = 67274172. Its totient is φ = 16214016.

The previous prime is 33065183. The next prime is 33065231. The reversal of 33065216 is 61256033.

It can be written as a sum of positive squares in 2 ways, for example, as 28047616 + 5017600 = 5296^2 + 2240^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12350 + ... + 14786.

It is an arithmetic number, because the mean of its divisors is an integer number (1868727).

Almost surely, 2^33065216 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 33065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33637086).

33065216 is an abundant number, since it is smaller than the sum of its proper divisors (34208956).

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

33065216 is an equidigital number, since it uses as much as digits as its factorization.

33065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 33065216 is about 5750.2361690630. The cubic root of 33065216 is about 320.9645894758.

The spelling of 33065216 in words is "thirty-three million, sixty-five thousand, two hundred sixteen".