33838393 has 2 divisors, whose sum is σ = 33838394. Its totient is φ = 33838392.

The previous prime is 33838361. The next prime is 33838397. The reversal of 33838393 is 39383833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33779344 + 59049 = 5812^2 + 243^2 .

It is an emirp because it is prime and its reverse (39383833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33838393 - 2⁵ = 33838361 is a prime.

It is a super-2 number, since 2×33838393² = 2290073681644898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33838397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16919196 + 16919197.

It is an arithmetic number, because the mean of its divisors is an integer number (16919197).

Almost surely, 2^33838393 is an apocalyptic number.

It is an amenable number.

33838393 is a deficient number, since it is larger than the sum of its proper divisors (1).

33838393 is an equidigital number, since it uses as much as digits as its factorization.

33838393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 139968, while the sum is 40.

The square root of 33838393 is about 5817.0777027645. The cubic root of 33838393 is about 323.4470863674.

The spelling of 33838393 in words is "thirty-three million, eight hundred thirty-eight thousand, three hundred ninety-three".