113751

113751 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 113751 is a prime number, which means it has exactly two distinct positive divisors: 1 and itself. This number is not a perfect square, as the square root of 113751 is not an integer.

In the context of divisibility, 113751 is not divisible by any prime numbers less than its square root, which is approximately 337. It is divisible by 3, as the sum of its digits (1+1+3+7+5+1) is divisible by 3. However, it is not divisible by 9, as the sum of its digits is not divisible by 9.

113751 is the 10th prime number in the 10001-10100 range. It is also the 10th prime number in the 113701-113800 range. The next prime number after 113751 is 113761, and the previous prime number is 113749.

In the field of mathematics, 113751 is used in various contexts such as number theory, cryptography, and prime number research. It is also a part of the sequence of prime numbers, which is a fundamental concept in number theory.