I lost my cellphone in a bus. When I reported the matter to the bus company , I was asked the number of the bus. Though I did not remember the exact number I did remember that the bus number had a certain peculiarity about it. The number plate showed the bus number was a perfect square and also if the plate was turned upside down, the number would still be a perfect square.

I came to know from the bus company they had only five hundred buses numbered from 5 to 504 excluding 100. What was the bus number?

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