For introduction, Ethiointegers are integers which get reversed when multiplied by another number.

For instance, 

2178 * 4 = 8712

1089 * 9 = 9801

 I couldn't find such numbers, even by another name anywhere else except in one journal which I think is not electronically accessible.

**My question**: Has numbers like this been treated anywhere? If so, what interesting properties do they have?

[E.g. One property I consider interesting: sumofdivisors(1089) = 1729 = 1728 + 1 (Hardy's taxi number 12^3 + 1^3, [ more about this sum][1] ), also 1728 is a rearrangement of 2178!] 


[Added later]  Eulertotient(2178) = Eulertotient(1089)

  [1]: http://www.mathpages.com/home/kmath028.htm