17315 has 4 divisors (see below), whose sum is σ = 20784. Its totient is φ = 13848.

The previous prime is 17299. The next prime is 17317. The reversal of 17315 is 51371.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 51371 = 47 ⋅1093.

It is a cyclic number.

It is not a de Polignac number, because 17315 - 2⁴ = 17299 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 17293 and 17302.

It is not an unprimeable number, because it can be changed into a prime (17317) 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 in 3 ways as a sum of consecutive naturals, for example, 1727 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (5196).

2¹⁷³¹⁵ is an apocalyptic number.

17315 is a deficient number, since it is larger than the sum of its proper divisors (3469).

17315 is an equidigital number, since it uses as much as digits as its factorization.

17315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468.

The product of its digits is 105, while the sum is 17.

The square root of 17315 is about 131.5864734690. The cubic root of 17315 is about 25.8706594196.

Adding to 17315 its reverse (51371), we get a palindrome (68686).

The spelling of 17315 in words is "seventeen thousand, three hundred fifteen".