15937

15937 is a natural number that lies between 15936 and 15938. In mathematics, it is notable for being a prime number and an odd integer.

15937 is not divisible by common small primes such as 2, 3, or 5. The sum of its decimal digits is 25, giving a digital root of 7. It is congruent to 1 modulo 4 (15937 ≡ 1 mod 4).

A significant property of 15937 is that it can be written as a sum of two squares: 15937 = 36^2 + 121^2. For primes, this is a manifestation of Fermat's theorem on sums of two squares, and the representation is unique up to exchanging the two squares.

As a prime of the form 4k+1, 15937 exemplifies a common class of primes with such representations. Beyond its primality, there are no widely recognized named uses for 15937 in standard mathematical references.