17117 has 2 divisors, whose sum is σ = 17118. Its totient is φ = 17116.

The previous prime is 17107. The next prime is 17123. The reversal of 17117 is 71171.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 8281 = 94^2 + 91^2 .

It is an emirp because it is prime and its reverse (71171) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 17117 - 2⁶ = 17053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17095 and 17104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8558 + 8559.

It is an arithmetic number, because the mean of its divisors is an integer number (8559).

2¹⁷¹¹⁷ is an apocalyptic number.

It is an amenable number.

17117 is a deficient number, since it is larger than the sum of its proper divisors (1).

17117 is an equidigital number, since it uses as much as digits as its factorization.

17117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 49, while the sum is 17.

The square root of 17117 is about 130.8319532836. The cubic root of 17117 is about 25.7716693204.

Adding to 17117 its reverse (71171), we get a palindrome (88288).

The spelling of 17117 in words is "seventeen thousand, one hundred seventeen", and thus it is an iban number.