33065864 has 48 divisors (see below), whose sum is σ = 69053220. Its totient is φ = 14826240.

The previous prime is 33065821. The next prime is 33065869. The reversal of 33065864 is 46856033.

It can be written as a sum of positive squares in 6 ways, for example, as 16337764 + 16728100 = 4042^2 + 4090^2 .

It is not an unprimeable number, because it can be changed into a prime (33065869) 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, 49694 + ... + 50354.

Almost surely, 2^33065864 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 33065864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34526610).

33065864 is an abundant number, since it is smaller than the sum of its proper divisors (35987356).

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

33065864 is a wasteful number, since it uses less digits than its factorization.

33065864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 33065864 is about 5750.2925142987. The cubic root of 33065864 is about 320.9666861776.

The spelling of 33065864 in words is "thirty-three million, sixty-five thousand, eight hundred sixty-four".