Check whether, $729$ is a cube of an even number or not?

Check whether, $512$ is the cube of an even number or not?

Check whether, $3375$ is the cube of even number or not?

Check whether, $1000$ is a cube of an even number or not?

Check whether, $125$ is the cube of odd number or not?

Check whether, $343$ is the cube of odd number or not?

Check whether, $1728$ is the cube of odd number or not?

Check whether, $4096$ is the cube of odd number or not?

Check whether, $9261$ is a cube of an even number or not?