27791 has 2 divisors, whose sum is σ = 27792. Its totient is φ = 27790.

The previous prime is 27779. The next prime is 27793. The reversal of 27791 is 19772.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27791 is a prime.

Together with 27793, 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 27791.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13895 + 13896.

It is an arithmetic number, because the mean of its divisors is an integer number (13896).

2²⁷⁷⁹¹ is an apocalyptic number.

27791 is a deficient number, since it is larger than the sum of its proper divisors (1).

27791 is an equidigital number, since it uses as much as digits as its factorization.

27791 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882, while the sum is 26.

The square root of 27791 is about 166.7063286141. The cubic root of 27791 is about 30.2901477261.

It can be divided in two parts, 27 and 791, that added together give a palindrome (818).

The spelling of 27791 in words is "twenty-seven thousand, seven hundred ninety-one".