33791 has 2 divisors, whose sum is σ = 33792. Its totient is φ = 33790.

The previous prime is 33773. The next prime is 33797. The reversal of 33791 is 19733.

33791 is nontrivially palindromic in base 9.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33791 is a prime.

It is a super-2 number, since 2×33791² = 2283663362, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33797) 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, 16895 + 16896.

It is an arithmetic number, because the mean of its divisors is an integer number (16896).

2³³⁷⁹¹ is an apocalyptic number.

33791 is a deficient number, since it is larger than the sum of its proper divisors (1).

33791 is an equidigital number, since it uses as much as digits as its factorization.

33791 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567, while the sum is 23.

The square root of 33791 is about 183.8232847057. The cubic root of 33791 is about 32.3296012508.

The spelling of 33791 in words is "thirty-three thousand, seven hundred ninety-one".