14749

14749 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 14749 can be expressed as a sum of two squares in two different ways: 14749 = 121^2 + 119^2 and 14749 = 119^2 + 121^2. This makes it a sum of two squares number.

In terms of its divisors, 14749 is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The number 14749 is not divisible by any prime number less than its square root, which is approximately 121.3. This prime status makes 14749 an important number in the field of number theory.

14749 also has connections to the Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. The 14749th Fibonacci number is 19334428748053797633, which is a large number but still a part of the sequence.

In summary, 14749 is an odd prime number with unique properties in the realm of number theory. Its status as a prime number and its expression as a sum of two squares make it a significant number in mathematical studies.