33791033 has 2 divisors, whose sum is σ = 33791034. Its totient is φ = 33791032.

The previous prime is 33790997. The next prime is 33791081. The reversal of 33791033 is 33019733.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33790969 + 64 = 5813^2 + 8^2 .

It is an emirp because it is prime and its reverse (33019733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33791033 - 2²⁴ = 17013817 is a prime.

It is a super-2 number, since 2×33791033² = 2283667822414178, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33790987 and 33791005.

It is not a weakly prime, because it can be changed into another prime (33791833) 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, 16895516 + 16895517.

It is an arithmetic number, because the mean of its divisors is an integer number (16895517).

Almost surely, 2^33791033 is an apocalyptic number.

It is an amenable number.

33791033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33791033 is an equidigital number, since it uses as much as digits as its factorization.

33791033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 29.

The square root of 33791033 is about 5813.0055049002. The cubic root of 33791033 is about 323.2961177511.

The spelling of 33791033 in words is "thirty-three million, seven hundred ninety-one thousand, thirty-three".