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?

Find the smallest number by which $1323$ must be multiplied so that the product is a perfect cube.

Find the smallest number by which $2560$ must be multiplied so that the product is a perfect cube.

What is the smallest number by which $1600$ must be divided so that the quotient is a perfect cube?

Find the smallest number by which $8788$ must be divided so that the quotient is a perfect cube.

Find the value of ${25}^3$ using the short-cut method.