Lucky Integer

Chef has got a strange task in his Math class. His teacher assigned him a number $N$ and he is asked to check if there is a possibility of creating a positive integer $I$ by performing a certain set of operations to the digits of the given integer $N$, such that $I$ is a divisor of $N$. If such a divisor of $N$ is possible, the integer $I$ is termed as Lucky Integer. The set of operation is as