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The Times & The Sunday Times
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Teaser 2854

Andrew Skidmore
The Sunday Times
Andrew Skidmore
The Sunday Times

Power surge

I recently checked my energy bills. I noticed that the account numbers for my electricity and gas are two different six-figure numbers, and that one is a multiple of the other. The electricity account number is a perfect cube and the sum of its digits is a perfect square. The gas account number is a perfect square (and, as it happens, the sum of its digits is a perfect cube!).

What is the gas account number?

Send your solution to: The Sunday Times Teaser 2854, PO Box 29, Colchester, Essex CO2 8GZ or email puzzle.entries@sunday-times.co.uk. The first two correct solutions opened after next Saturday win £20.