It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 83 513 is not a prime number.
For example, 83 513 can be divided by 23: 83 513 / 23 = 3 631.
For 83 513 to be a prime number, it would have been required that 83 513 has only two divisors, i.e., itself and 1.
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83 513 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 83 513 is about 288.986.
Thus, the square root of 83 513 is not an integer, and therefore 83 513 is not a square number.
The square of a number (here 83 513) is the result of the product of this number (83 513) by itself (i.e., 83 513 × 83 513); the square of 83 513 is sometimes called "raising 83 513 to the power 2", or "83 513 squared".
The square of 83 513 is 6 974 421 169 because 83 513 × 83 513 = 83 5132 = 6 974 421 169.
As a consequence, 83 513 is the square root of 6 974 421 169.
The multiples of 83 513 are all integers evenly divisible by 83 513, that is all numbers such that the remainder of the division by 83 513 is zero. There are infinitely many multiples of 83 513. The smallest multiples of 83 513 are: