15217 has 2 divisors, whose sum is σ = 15218. Its totient is φ = 15216.

The previous prime is 15199. The next prime is 15227. The reversal of 15217 is 71251.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14641 + 576 = 121^2 + 24^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-15217 is a prime.

15217 is a lucky number.

It is a plaindrome in base 9 and base 14.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 15217.

It is not a weakly prime, because it can be changed into another prime (15227) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7608 + 7609.

It is an arithmetic number, because the mean of its divisors is an integer number (7609).

2¹⁵²¹⁷ is an apocalyptic number.

It is an amenable number.

15217 is a deficient number, since it is larger than the sum of its proper divisors (1).

15217 is an equidigital number, since it uses as much as digits as its factorization.

15217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70, while the sum is 16.

The square root of 15217 is about 123.3572048970. The cubic root of 15217 is about 24.7804780465.

Adding to 15217 its reverse (71251), we get a palindrome (86468).

It can be divided in two parts, 152 and 17, that added together give a square (169 = 13²).

The spelling of 15217 in words is "fifteen thousand, two hundred seventeen".