17591 has 6 divisors (see below), whose sum is σ = 20520. Its totient is φ = 15036.

The previous prime is 17581. The next prime is 17597. The reversal of 17591 is 19571.

17591 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 17591 - 2¹⁰ = 16567 is a prime.

It is a Duffinian number.

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 17591.

It is not an unprimeable number, because it can be changed into a prime (17597) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2¹⁷⁵⁹¹ is an apocalyptic number.

17591 is a deficient number, since it is larger than the sum of its proper divisors (2929).

17591 is an equidigital number, since it uses as much as digits as its factorization.

17591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its digits is 315, while the sum is 23.

The square root of 17591 is about 132.6310672505. The cubic root of 17591 is about 26.0073943466.

The spelling of 17591 in words is "seventeen thousand, five hundred ninety-one".