8591 has 6 divisors (see below), whose sum is σ = 9576. Its totient is φ = 7700.

The previous prime is 8581. The next prime is 8597. The reversal of 8591 is 1958.

8591 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8591 - 2⁶ = 8527 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86 + ... + 156.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

2⁸⁵⁹¹ is an apocalyptic number.

8591 is a deficient number, since it is larger than the sum of its proper divisors (985).

8591 is a wasteful number, since it uses less digits than its factorization.

8591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its digits is 360, while the sum is 23.

The square root of 8591 is about 92.6876475049. The cubic root of 8591 is about 20.4808466752.

The spelling of 8591 in words is "eight thousand, five hundred ninety-one".