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?