38935033 has 2 divisors, whose sum is σ = 38935034. Its totient is φ = 38935032.

The previous prime is 38935031. The next prime is 38935073. The reversal of 38935033 is 33053983.

38935033 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., 20548089 + 18386944 = 4533^2 + 4288^2 .

It is a cyclic number.

It is not a de Polignac number, because 38935033 - 2¹ = 38935031 is a prime.

It is a super-2 number, since 2×38935033² = 3031873589422178, which contains 22 as substring.

Together with 38935031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 38935033.

It is not a weakly prime, because it can be changed into another prime (38935031) 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, 19467516 + 19467517.

It is an arithmetic number, because the mean of its divisors is an integer number (19467517).

Almost surely, 2^38935033 is an apocalyptic number.

It is an amenable number.

38935033 is a deficient number, since it is larger than the sum of its proper divisors (1).

38935033 is an equidigital number, since it uses as much as digits as its factorization.

38935033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 38935033 is about 6239.7943075073. The cubic root of 38935033 is about 338.9327346576.

The spelling of 38935033 in words is "thirty-eight million, nine hundred thirty-five thousand, thirty-three".