It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 31 673 is not a prime number.
For example, 31 673 can be divided by 19: 31 673 / 19 = 1 667.
For 31 673 to be a prime number, it would have been required that 31 673 has only two divisors, i.e., itself and 1.
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31 673 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 31 673 is about 177.969.
Thus, the square root of 31 673 is not an integer, and therefore 31 673 is not a square number.
The square of a number (here 31 673) is the result of the product of this number (31 673) by itself (i.e., 31 673 × 31 673); the square of 31 673 is sometimes called "raising 31 673 to the power 2", or "31 673 squared".
The square of 31 673 is 1 003 178 929 because 31 673 × 31 673 = 31 6732 = 1 003 178 929.
As a consequence, 31 673 is the square root of 1 003 178 929.
The multiples of 31 673 are all integers evenly divisible by 31 673, that is all numbers such that the remainder of the division by 31 673 is zero. There are infinitely many multiples of 31 673. The smallest multiples of 31 673 are: