17291 has 2 divisors, whose sum is σ = 17292. Its totient is φ = 17290.

The previous prime is 17257. The next prime is 17293. The reversal of 17291 is 19271.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 17291 - 2¹⁰ = 16267 is a prime.

It is a Sophie Germain prime.

Together with 17293, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (17293) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8645 + 8646.

It is an arithmetic number, because the mean of its divisors is an integer number (8646).

2¹⁷²⁹¹ is an apocalyptic number.

17291 is a deficient number, since it is larger than the sum of its proper divisors (1).

17291 is an equidigital number, since it uses as much as digits as its factorization.

17291 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 20.

The square root of 17291 is about 131.4952470624. The cubic root of 17291 is about 25.8587009458.

Subtracting from 17291 its sum of digits (20), we obtain a palindrome (17271).

The spelling of 17291 in words is "seventeen thousand, two hundred ninety-one".