33838193 has 2 divisors, whose sum is σ = 33838194. Its totient is φ = 33838192.

The previous prime is 33838169. The next prime is 33838199. The reversal of 33838193 is 39183833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24880144 + 8958049 = 4988^2 + 2993^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33838193 is a prime.

It is a super-2 number, since 2×33838193² = 2290046611010498, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33838199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16919096 + 16919097.

It is an arithmetic number, because the mean of its divisors is an integer number (16919097).

Almost surely, 2^33838193 is an apocalyptic number.

It is an amenable number.

33838193 is a deficient number, since it is larger than the sum of its proper divisors (1).

33838193 is an equidigital number, since it uses as much as digits as its factorization.

33838193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 38.

The square root of 33838193 is about 5817.0605119768. The cubic root of 33838193 is about 323.4464491273.

The spelling of 33838193 in words is "thirty-three million, eight hundred thirty-eight thousand, one hundred ninety-three".