33506741 has 2 divisors, whose sum is σ = 33506742. Its totient is φ = 33506740.

The previous prime is 33506689. The next prime is 33506773. The reversal of 33506741 is 14760533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28462225 + 5044516 = 5335^2 + 2246^2 .

It is a cyclic number.

It is not a de Polignac number, because 33506741 - 2¹⁸ = 33244597 is a prime.

It is a super-2 number, since 2×33506741² = 2245403384882162, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33509741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16753370 + 16753371.

It is an arithmetic number, because the mean of its divisors is an integer number (16753371).

Almost surely, 2^33506741 is an apocalyptic number.

It is an amenable number.

33506741 is a deficient number, since it is larger than the sum of its proper divisors (1).

33506741 is an equidigital number, since it uses as much as digits as its factorization.

33506741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 33506741 is about 5788.5007558089. The cubic root of 33506741 is about 322.3869074445.

The spelling of 33506741 in words is "thirty-three million, five hundred six thousand, seven hundred forty-one".