33438313 has 2 divisors, whose sum is σ = 33438314. Its totient is φ = 33438312.

The previous prime is 33438299. The next prime is 33438359. The reversal of 33438313 is 31383433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32752729 + 685584 = 5723^2 + 828^2 .

It is an emirp because it is prime and its reverse (31383433) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33438313 - 2⁵ = 33438281 is a prime.

It is a super-2 number, since 2×33438313² = 2236241552571938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33438413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16719156 + 16719157.

It is an arithmetic number, because the mean of its divisors is an integer number (16719157).

Almost surely, 2^33438313 is an apocalyptic number.

It is an amenable number.

33438313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33438313 is an equidigital number, since it uses as much as digits as its factorization.

33438313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 28.

The square root of 33438313 is about 5782.5870507931. The cubic root of 33438313 is about 322.1672966538.

The spelling of 33438313 in words is "thirty-three million, four hundred thirty-eight thousand, three hundred thirteen".