33906601 has 2 divisors, whose sum is σ = 33906602. Its totient is φ = 33906600.

The previous prime is 33906571. The next prime is 33906611. The reversal of 33906601 is 10660933.

33906601 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., 25050025 + 8856576 = 5005^2 + 2976^2 .

It is an emirp because it is prime and its reverse (10660933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33906601 - 2⁵ = 33906569 is a prime.

It is a super-2 number, since 2×33906601² = 2299315182746402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33906601.

It is not a weakly prime, because it can be changed into another prime (33906611) 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, 16953300 + 16953301.

It is an arithmetic number, because the mean of its divisors is an integer number (16953301).

Almost surely, 2^33906601 is an apocalyptic number.

It is an amenable number.

33906601 is a deficient number, since it is larger than the sum of its proper divisors (1).

33906601 is an equidigital number, since it uses as much as digits as its factorization.

33906601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 33906601 is about 5822.9374889312. The cubic root of 33906601 is about 323.6642644528.

The spelling of 33906601 in words is "thirty-three million, nine hundred six thousand, six hundred one".