33066261 has 6 divisors (see below), whose sum is σ = 47762390. Its totient is φ = 22044168.

The previous prime is 33066227. The next prime is 33066263. The reversal of 33066261 is 16266033.

33066261 is a `hidden beast` number, since 3 + 30 + 6 + 626 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31640625 + 1425636 = 5625^2 + 1194^2 .

It is not a de Polignac number, because 33066261 - 2¹⁸ = 32804117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33066263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1837006 + ... + 1837023.

Almost surely, 2^33066261 is an apocalyptic number.

It is an amenable number.

33066261 is a deficient number, since it is larger than the sum of its proper divisors (14696129).

33066261 is a wasteful number, since it uses less digits than its factorization.

33066261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674035 (or 3674032 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33066261 is about 5750.3270341781. The cubic root of 33066261 is about 320.9679707175.

The spelling of 33066261 in words is "thirty-three million, sixty-six thousand, two hundred sixty-one".