Sunday Times Teaser 2613 – Anagrammatical
by Nick MacKinnon
Published: 21 October 2012 (link)
The number 258 is special in the following way. If you write down its six different anagrams (258, 285, 528, etc), then calculate the fifteen differences between any two of those six (27, 270, 243, etc) and then add up those fifteen differences, you get 4644, which is a multiple of the number 258 that you started with!
Which higher three-figure number has the same property?