33066965 has 8 divisors (see below), whose sum is σ = 40429368. Its totient is φ = 25954240.

The previous prime is 33066961. The next prime is 33067007. The reversal of 33066965 is 56966033.

It can be written as a sum of positive squares in 4 ways, for example, as 7524049 + 25542916 = 2743^2 + 5054^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33066965 - 2² = 33066961 is a prime.

It is a super-2 number, since 2×33066965² = 2186848348622450, which contains 22 as substring.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 62126 + ... + 62655.

It is an arithmetic number, because the mean of its divisors is an integer number (5053671).

Almost surely, 2^33066965 is an apocalyptic number.

It is an amenable number.

33066965 is a deficient number, since it is larger than the sum of its proper divisors (7362403).

33066965 is a wasteful number, since it uses less digits than its factorization.

33066965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124839.

The product of its (nonzero) digits is 87480, while the sum is 38.

The square root of 33066965 is about 5750.3882477621. The cubic root of 33066965 is about 320.9702485665.

The spelling of 33066965 in words is "thirty-three million, sixty-six thousand, nine hundred sixty-five".