17191 has 2 divisors, whose sum is σ = 17192. Its totient is φ = 17190.

The previous prime is 17189. The next prime is 17203. The reversal of 17191 is 19171.

17191 = 51² + 52² + ... + 56².

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 17191 - 2¹ = 17189 is a prime.

Together with 17189, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17291) 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 as a sum of consecutive naturals, namely, 8595 + 8596.

It is an arithmetic number, because the mean of its divisors is an integer number (8596).

2¹⁷¹⁹¹ is an apocalyptic number.

17191 is a deficient number, since it is larger than the sum of its proper divisors (1).

17191 is an equidigital number, since it uses as much as digits as its factorization.

17191 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63, while the sum is 19.

The square root of 17191 is about 131.1144538180. The cubic root of 17191 is about 25.8087545156.

It can be divided in two parts, 171 and 91, that added together give a palindrome (262).

The spelling of 17191 in words is "seventeen thousand, one hundred ninety-one".