13217 has 2 divisors, whose sum is σ = 13218. Its totient is φ = 13216.

The previous prime is 13187. The next prime is 13219. The reversal of 13217 is 71231.

13217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 2401 = 104^2 + 49^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13217 is a prime.

Together with 13219, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₅₇₁ and since 13217 and 1571 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13217.

It is not a weakly prime, because it can be changed into another prime (13219) 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, 6608 + 6609.

It is an arithmetic number, because the mean of its divisors is an integer number (6609).

2¹³²¹⁷ is an apocalyptic number.

It is an amenable number.

13217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13217 is an equidigital number, since it uses as much as digits as its factorization.

13217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 14.

The square root of 13217 is about 114.9652121296. The cubic root of 13217 is about 23.6434562721.

Adding to 13217 its sum of digits (14), we get a palindrome (13231).

Subtracting from 13217 its sum of digits (14), we obtain a triangular number (13203 = T₁₆₂).

Adding to 13217 its reverse (71231), we get a palindrome (84448).

The spelling of 13217 in words is "thirteen thousand, two hundred seventeen".