Squares, Cubes or None?

Are any of the following numbers below perfect squares or cubes? If yes, how many are there?

1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 11 , 22 , 33 , 44 , 55 , 66 , 77 , 88 , 99 , 111 , 222 , 333 , 444 , 1,2,3,4,5,6,7,8,9,11,22,33,44,55,66,77,88,99,111,222,333,444, \cdots

Yes, 1 number is No Yes, 4 numbers are Yes, 3 numbers are Yes, infinitely many numbers are Yes, 2 numbers are

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