8291 has 2 divisors, whose sum is σ = 8292. Its totient is φ = 8290.

The previous prime is 8287. The next prime is 8293. The reversal of 8291 is 1928.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8291 - 2² = 8287 is a prime.

Together with 8293, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4145 + 4146.

It is an arithmetic number, because the mean of its divisors is an integer number (4146).

2⁸²⁹¹ is an apocalyptic number.

8291 is a deficient number, since it is larger than the sum of its proper divisors (1).

8291 is an equidigital number, since it uses as much as digits as its factorization.

8291 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 20.

The square root of 8291 is about 91.0549284773. The cubic root of 8291 is about 20.2396177028.

The spelling of 8291 in words is "eight thousand, two hundred ninety-one".