This presentation starts with the following example: Begin with the positive integer 629 and write down the permutation of its digits, i.e. all ways to write a 3-digit number using the digits 6,2, and 9. In this case they will be 629, 692, 269, 296, 926 and 962. The average of these six permutations is 3774/6 = 629 which is one of the permutations. Along with this example I will present additional cases of numbers that also have this property. This presentation is the result of an investigation of why some integers have this property and others do not.
