33066964 has 36 divisors (see below), whose sum is σ = 67956084. Its totient is φ = 14036736.

The previous prime is 33066961. The next prime is 33067007. The reversal of 33066964 is 46966033.

It can be written as a sum of positive squares in 2 ways, for example, as 12744900 + 20322064 = 3570^2 + 4508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33066961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21402 + ... + 22894.

It is an arithmetic number, because the mean of its divisors is an integer number (1887669).

Almost surely, 2^33066964 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 33066964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33978042).

33066964 is an abundant number, since it is smaller than the sum of its proper divisors (34889120).

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

33066964 is a wasteful number, since it uses less digits than its factorization.

33066964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 33066964 is about 5750.3881608114. The cubic root of 33066964 is about 320.9702453310.

The spelling of 33066964 in words is "thirty-three million, sixty-six thousand, nine hundred sixty-four".