17321 has 2 divisors, whose sum is σ = 17322. Its totient is φ = 17320.

The previous prime is 17317. The next prime is 17327. The reversal of 17321 is 12371.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 4096 = 115^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 17321 - 2² = 17317 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 17296 and 17305.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 17321.

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 polite number, since it can be written as a sum of consecutive naturals, namely, 8660 + 8661.

It is an arithmetic number, because the mean of its divisors is an integer number (8661).

2¹⁷³²¹ is an apocalyptic number.

It is an amenable number.

17321 is a deficient number, since it is larger than the sum of its proper divisors (1).

17321 is an equidigital number, since it uses as much as digits as its factorization.

17321 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 17321 is about 131.6092701902. The cubic root of 17321 is about 25.8736473112.

Adding to 17321 its reverse (12371), we get a palindrome (29692).

Subtracting from 17321 its reverse (12371), we obtain a triangular number (4950 = T₉₉).

The spelling of 17321 in words is "seventeen thousand, three hundred twenty-one", and thus it is an iban number.