A number is multiplied by itself eight times,then divided by 65,536 to return to the original number.What is the number?

Question

There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains same digits only.

Can you find that number ?

Answer 1

Lets assume number is n

Now we have n^9 / 65536 = n
or n^8 = 65536
or n=4

Answer is 4