Perfect Cube Checker

About this calculator

A perfect cube is an integer that results from cubing another integer — 27 is a perfect cube because 3³ = 27, but 28 is not, since no whole number cubed produces it. The check works by taking the cube root of the input, rounding it to the nearest integer, cubing that rounded value back, and comparing it against the original number; if they match, the number is a perfect cube.

This kind of integer property test appears throughout number theory education as a building block for understanding factorization and exponents, in programming interview questions that ask candidates to detect perfect powers efficiently, and in recreational and competitive mathematics puzzles that rely on properties of cubes, such as sum-of-cubes and cube-difference problems. Cube roots and perfect cubes also come up in geometry when reasoning about the side length of a cube given its volume.

Enter a number and this calculator checks whether it’s a perfect cube, showing you the nearest cube root and its resulting cube for reference.