36791 has 2 divisors, whose sum is σ = 36792. Its totient is φ = 36790.

The previous prime is 36787. The next prime is 36793. The reversal of 36791 is 19763.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (19763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36791 - 2² = 36787 is a prime.

It is a Sophie Germain prime.

Together with 36793, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36791.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36791.

It is not a weakly prime, because it can be changed into another prime (36793) 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, 18395 + 18396.

It is an arithmetic number, because the mean of its divisors is an integer number (18396).

2³⁶⁷⁹¹ is an apocalyptic number.

36791 is a deficient number, since it is larger than the sum of its proper divisors (1).

36791 is an equidigital number, since it uses as much as digits as its factorization.

36791 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

The square root of 36791 is about 191.8098016265. The cubic root of 36791 is about 33.2593581739.

The spelling of 36791 in words is "thirty-six thousand, seven hundred ninety-one".