13629

13629 is a number that belongs to the set of natural numbers. It is an odd number, meaning it is not divisible by 2. The number 13629 is not a prime number, as it has factors other than 1 and itself. These factors include 1, 3, 11, 37, 99, 111, 333, 1333, 3699, 4111, 13629, and so on.

The sum of the digits of 13629 is 1 + 3 + 6 + 2 + 9 = 21, which is divisible by 3, confirming that 13629 is divisible by 3. The number 13629 is also divisible by 11, as the alternating sum of its digits (1 - 3 + 6 - 2 + 9) is 11.

13629 is not a perfect square, as the square root of 13629 is not an integer. It is also not a perfect cube, as the cube root of 13629 is not an integer.

In number theory, 13629 is often studied as part of the sequence of natural numbers or in the context of divisibility rules. It is also a part of various mathematical puzzles and problems that involve number properties and relationships.