33838457 has 2 divisors, whose sum is σ = 33838458. Its totient is φ = 33838456.

The previous prime is 33838421. The next prime is 33838459. The reversal of 33838457 is 75483833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21335161 + 12503296 = 4619^2 + 3536^2 .

It is a cyclic number.

It is not a de Polignac number, because 33838457 - 2⁶ = 33838393 is a prime.

It is a super-2 number, since 2×33838457² = 2290082344281698, which contains 22 as substring.

Together with 33838459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33838459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16919228 + 16919229.

It is an arithmetic number, because the mean of its divisors is an integer number (16919229).

Almost surely, 2^33838457 is an apocalyptic number.

It is an amenable number.

33838457 is a deficient number, since it is larger than the sum of its proper divisors (1).

33838457 is an equidigital number, since it uses as much as digits as its factorization.

33838457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 41.

The square root of 33838457 is about 5817.0832038058. The cubic root of 33838457 is about 323.4472902837.

The spelling of 33838457 in words is "thirty-three million, eight hundred thirty-eight thousand, four hundred fifty-seven".