38747

38747 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 38747 can be expressed as a sum of two squares in two different ways: 38747 = 197^2 + 0^2 and 38747 = 1^2 + 197^2. This property makes it a sum of two squares number.

In decimal form, 38747 is represented as thirty-eight thousand, seven hundred forty-seven. It is a prime number, meaning it has no positive divisors other than 1 and itself. This makes it a prime number.

The number 38747 is not a perfect square, as the square root of 38747 is not an integer. It is also not a perfect cube, as the cube root of 38747 is not an integer. However, it can be expressed as a sum of cubes in two different ways: 38747 = 1^3 + 37^3 and 38747 = 37^3 + 1^3.

In base 10, the digits of 38747 sum up to 3 + 8 + 7 + 4 + 7 = 31. This sum is not a multiple of 3, which means 38747 is not divisible by 3. However, it is divisible by 11, as the alternating sum of its digits is 3 - 8 + 7 - 4 + 7 = 7, which is a multiple of 11.

The number 38747 appears in the sequence of prime numbers and is the 4757th prime number. It is also the 197th prime number that can be expressed as the sum of two squares. The number 38747 is not a Mersenne prime, as it is not of the form 2^p - 1 for any prime p.