17121

17121 is a natural number that follows 17120 and precedes 17122. It is odd and composite. The prime factorization is 3 × 13 × 439, so the number has eight positive divisors: 1, 3, 13, 39, 439, 1317, 5707, and 17121. The sum of its proper divisors is 7519, which is less than 17121, classifying 17121 as a deficient number. The digit sum is 12, giving a digital root of 3; the number is divisible by 3 but not by 9 or 5, and it ends with 1, so it is not a multiple of 2 or 5.

Since each prime factor occurs to the first power, 17121 is squarefree. It is not a perfect square, and its integer square root is between 130 and 131. In modular arithmetic, 17121 ≡ 0 (mod 3) and ≡ 3 (mod 9). The factorization indicates that it has exactly eight divisors, a property associated with numbers that have three distinct prime factors.

In contexts outside pure mathematics, 17121 may appear as a code, catalog number, or postal designation. Like many integers, its significance depends on the system in which it is used, and there is no widely recognized meaning attached to 17121 beyond such uses.