7667

7667 is a natural number that follows 7666 and precedes 7668. In decimal notation, it is a palindromic number, reading the same forwards and backwards (7–6–6–7).

Mathematically, 7667 is an odd, composite integer. Its prime factorization is 11 × 17 × 41, making it square-free since no prime factor is repeated. The digit sum is 26, which means it is not divisible by 3 or 9. The factors 11, 17, and 41 are all prime, and their product yields the four-digit palindrome 7667.

Beyond its basic numeric properties, 7667 does not have a widely recognized special significance in standard mathematical theorems or constants. Like many integers, it can appear as a label or identifier in various catalogs, numbering schemes, or product codes, but it does not denote a canonical mathematical object or widely cited value.

In summary, 7667 is a four-digit palindromic composite number with prime factors 11, 17, and 41. It is primarily of interest as a numerical example of a palindromic, square-free integer rather than for any particular theorem or constant associated with it.