It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 4 997 is not a prime number.
For example, 4 997 can be divided by 19: 4 997 / 19 = 263.
For 4 997 to be a prime number, it would have been required that 4 997 has only two divisors, i.e., itself and 1.
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4 997 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 4 997 is about 70.689.
Thus, the square root of 4 997 is not an integer, and therefore 4 997 is not a square number.
The square of a number (here 4 997) is the result of the product of this number (4 997) by itself (i.e., 4 997 × 4 997); the square of 4 997 is sometimes called "raising 4 997 to the power 2", or "4 997 squared".
The square of 4 997 is 24 970 009 because 4 997 × 4 997 = 4 9972 = 24 970 009.
As a consequence, 4 997 is the square root of 24 970 009.
The multiples of 4 997 are all integers evenly divisible by 4 997, that is all numbers such that the remainder of the division by 4 997 is zero. There are infinitely many multiples of 4 997. The smallest multiples of 4 997 are: