No they're not.
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No, 2 is neither a perfect square nor a perfect cube.
It is both because 1,000,000 is a perfect cube and a perfect square number
No- the closest perfect squares are 36 (perfect square of 6) and 49 (perfect square of 7)
If by 'perfect number' you mean 'perfect SQUARE', then yes. 49 is an odd number and a perfect square.