If it is even
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No. However, one you you can tell is that the digits of a multiple of 3 always add up to another multiple of 3.
If the sum of the digits is a multiple of 3, the whole number is divisible by 3.
You can tell if the number ends in either 5 or 0
You can tell whether a number is a square number by looking at the last digit. A perfect square number ends with either 1, 4, 5, 6, 9 or 00.
One quick way to tell whether or not a cell is dividing is to look at the number of chromosomes. If the number is doubled then it is dividing.