by Andrew Skidmore
Published August 25 2019 (link)
I came across a most remarkable number recently and wrote it down. All its digits were different and it was divisible by 11. In itself, that wasn’t particularly interesting, but I wrote down the number of digits in the number and then wrote down the sum of the digits in the number.
I therefore had three numbers written down. What surprised me was that of the three numbers, one was a square and two were cubes.
What is the remarkable number?