12737

12737 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 12737 can be expressed as a sum of two squares in two different ways: 12737 = 113^2 + 1^2 and 12737 = 112^2 + 7^2. This makes it a sum of two squares number.

The prime factorization of 12737 is 3^2 × 13 × 151, which means it is a composite number. It has a total of 16 factors, including 1 and itself. The factors of 12737 are 1, 3, 9, 13, 39, 151, 453, 1119, 1363, 3469, 4097, 4647, 11751, 12737.

12737 is not a perfect square, as the square root of 12737 is not an integer. It is also not a perfect cube, as the cube root of 12737 is not an integer. However, it can be expressed as a sum of cubes in two different ways: 12737 = 21^3 + 1^3 and 12737 = 20^3 + 7^3.

In number theory, 12737 is notable for being a sum of two squares number and a sum of cubes number. It is also a part of the sequence of numbers that can be expressed as the sum of two squares in two different ways.