36767

36767 is an integer, a natural number that follows 36766 and precedes 36768. It is an odd number, meaning it is not divisible by two. Its prime factorization is 13 * 2828 + 3, which is incorrect. Its prime factorization is actually 13 * 2828 + 3 is not the prime factorization. Upon further calculation, 36767 is a prime number. This means it is only divisible by 1 and itself.

In mathematics, prime numbers are fundamental building blocks for integers. They play a crucial role in number theory and cryptography. The number 36767 does not appear to have any immediate, widely recognized special properties or significant historical associations beyond its status as a prime number.

There are no well-known cultural, scientific, or technological applications directly linked to the specific integer 36767. Its significance, if any, would likely be found within highly specialized mathematical research or in niche computational contexts where large prime numbers are utilized. Without further context or specific domain knowledge, 36767 is simply another prime number within the vast sequence of natural numbers.