Sunday Times Teaser 2827 – Password
by Graham Smithers
Published: 27 November 2016 (link)
My computer password consists of different digits written in decreasing order.
I can rearrange the digits to form a perfect cube. A further rearrangement gives a perfect square. Another rearrangement gives a prime number. A further rearrangement gives a number that is divisible by the number of digits in the password. Yet another rearrangement gives a number that is divisible by all but one of its digits.
What is my password?