a perfect power or a perfect square is called sometimes.
namely, is there a digit that when squared gives 24?
[tex]\bf 2^2=4\qquad 3^2=9\qquad 4^2=16\qquad \stackrel{nope}{\downarrow }\qquad 5^2=25[/tex]
No it is not, The first few numbers that are perfect powers in more than one way are 16, 64, 81, 256, 512, 625 :)