33066961 has 2 divisors, whose sum is σ = 33066962. Its totient is φ = 33066960.

The previous prime is 33066953. The next prime is 33067007. The reversal of 33066961 is 16966033.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32706961 + 360000 = 5719^2 + 600^2 .

It is a cyclic number.

It is not a de Polignac number, because 33066961 - 2³ = 33066953 is a prime.

It is not a weakly prime, because it can be changed into another prime (33069961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16533480 + 16533481.

It is an arithmetic number, because the mean of its divisors is an integer number (16533481).

Almost surely, 2^33066961 is an apocalyptic number.

It is an amenable number.

33066961 is a deficient number, since it is larger than the sum of its proper divisors (1).

33066961 is an equidigital number, since it uses as much as digits as its factorization.

33066961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 33066961 is about 5750.3878999594. The cubic root of 33066961 is about 320.9702356243.

The spelling of 33066961 in words is "thirty-three million, sixty-six thousand, nine hundred sixty-one".