33906361 has 2 divisors, whose sum is σ = 33906362. Its totient is φ = 33906360.

The previous prime is 33906331. The next prime is 33906371. The reversal of 33906361 is 16360933.

33906361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28355625 + 5550736 = 5325^2 + 2356^2 .

It is a cyclic number.

It is not a de Polignac number, because 33906361 - 2⁵ = 33906329 is a prime.

It is a super-2 number, since 2×33906361² = 2299282632524642, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33906331) 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 as a sum of consecutive naturals, namely, 16953180 + 16953181.

It is an arithmetic number, because the mean of its divisors is an integer number (16953181).

Almost surely, 2^33906361 is an apocalyptic number.

It is an amenable number.

33906361 is a deficient number, since it is larger than the sum of its proper divisors (1).

33906361 is an equidigital number, since it uses as much as digits as its factorization.

33906361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 33906361 is about 5822.9168807394. The cubic root of 33906361 is about 323.6635007903.

The spelling of 33906361 in words is "thirty-three million, nine hundred six thousand, three hundred sixty-one".