33640993 has 2 divisors, whose sum is σ = 33640994. Its totient is φ = 33640992.

The previous prime is 33640969. The next prime is 33641051. The reversal of 33640993 is 39904633.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 1014049 = 5712^2 + 1007^2 .

It is an emirp because it is prime and its reverse (39904633) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33640993 - 2⁵ = 33640961 is a prime.

It is a super-2 number, since 2×33640993² = 2263432820052098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33640913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16820496 + 16820497.

It is an arithmetic number, because the mean of its divisors is an integer number (16820497).

Almost surely, 2^33640993 is an apocalyptic number.

It is an amenable number.

33640993 is a deficient number, since it is larger than the sum of its proper divisors (1).

33640993 is an equidigital number, since it uses as much as digits as its factorization.

33640993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 37.

The square root of 33640993 is about 5800.0856028166. The cubic root of 33640993 is about 322.8169046045.

The spelling of 33640993 in words is "thirty-three million, six hundred forty thousand, nine hundred ninety-three".