No. The square root of 249 is not a whole number, therefore it is not a square number.
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249 is a composite number because it has factors 3x83.
249 is a composite number. A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.
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As a number it is: 249,000,000