33738713 has 2 divisors, whose sum is σ = 33738714. Its totient is φ = 33738712.

The previous prime is 33738697. The next prime is 33738763. The reversal of 33738713 is 31783733.

33738713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21086464 + 12652249 = 4592^2 + 3557^2 .

It is a cyclic number.

It is not a de Polignac number, because 33738713 - 2⁴ = 33738697 is a prime.

It is a super-2 number, since 2×33738713² = 2276601509792738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33738763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16869356 + 16869357.

It is an arithmetic number, because the mean of its divisors is an integer number (16869357).

Almost surely, 2^33738713 is an apocalyptic number.

It is an amenable number.

33738713 is a deficient number, since it is larger than the sum of its proper divisors (1).

33738713 is an equidigital number, since it uses as much as digits as its factorization.

33738713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 35.

The square root of 33738713 is about 5808.5035077892. The cubic root of 33738713 is about 323.1291741483.

The spelling of 33738713 in words is "thirty-three million, seven hundred thirty-eight thousand, seven hundred thirteen".