5
$9^3$ not only a cube number, but also a square number $27^2$
$3^3$
$4^3$ not only a cube number but also $8^2$
$6^3$
~frequently tested in AMC~ must remember! $7^3$ I repeat: must remember!!!
$11^3$
$12^3$ this is also very important and also common in AMC
$16^3$ and also $64^2$ and 2^12 oof!!