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17317 is a prime number
BaseRepresentation
bin100001110100101
3212202101
410032211
51023232
6212101
7101326
oct41645
925671
1017317
1112013
12a031
137b61
14644d
1551e7
hex43a5

17317 has 2 divisors, whose sum is σ = 17318. Its totient is φ = 17316.

The previous prime is 17299. The next prime is 17321. The reversal of 17317 is 71371.

Adding to 17317 its reverse (71371), we get a palindrome (88688).

It can be divided in two parts, 173 and 17, that added together give a triangular number (190 = T19).

It is a happy number.

17317 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16641 + 676 = 129^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 17317 - 27 = 17189 is a prime.

It is equal to p1990 and since 17317 and 1990 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 17294 and 17303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17327) 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, 8658 + 8659.

It is an arithmetic number, because the mean of its divisors is an integer number (8659).

217317 is an apocalyptic number.

It is an amenable number.

17317 is a deficient number, since it is larger than the sum of its proper divisors (1).

17317 is an equidigital number, since it uses as much as digits as its factorization.

17317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147, while the sum is 19.

The square root of 17317 is about 131.5940728148. The cubic root of 17317 is about 25.8716554601.

The spelling of 17317 in words is "seventeen thousand, three hundred seventeen", and thus it is an iban number.