6749

6749 is a natural number that lies between 6748 and 6750. It is odd and composite. The prime factorization of 6749 is 17 × 397; both 17 and 397 are prime, so 6749 is a semiprime and, since its prime factors are distinct, it is square-free. Its divisors are 1, 17, 397, and 6749.

Regarding its arithmetic properties, the sum of its digits is 26, so the number is not divisible by 3. It is congruent to 1 modulo 4 and ends with 9, so it is not divisible by 2 or 5. The Euler totient function yields φ(6749) = (17 − 1)(397 − 1) = 16 × 396 = 6336.

6749 does not appear to be a square or a cube, and it is not a member of many common small-number sequences in an obvious way. In base-10, its representation is straightforward; in other bases its representations vary and are not particularly notable without specific context.

Outside pure mathematics, 6749 can serve as an identifier in catalogs or systems, such as model numbers, product codes, or designation numbers, but it has no widely recognized significance by itself.