6591 has 8 divisors (see below), whose sum is σ = 9520. Its totient is φ = 4056.

The previous prime is 6581. The next prime is 6599. The reversal of 6591 is 1956.

6591 is nontrivially palindromic in base 12.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=13.

It is not a de Polignac number, because 6591 - 2⁹ = 6079 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8, base 14 and base 16.

It is a nialpdrome in base 13.

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 6591.

It is not an unprimeable number, because it can be changed into a prime (6599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (1190).

6591 is a deficient number, since it is larger than the sum of its proper divisors (2929).

6591 is an equidigital number, since it uses as much as digits as its factorization.

6591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 16 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 6591 is about 81.1849739792. The cubic root of 6591 is about 18.7492444140.

The spelling of 6591 in words is "six thousand, five hundred ninety-one".