Abstract: Let φe(m) be generalized Euler function, where e is a positive integer. Aiming at the problem of the solvability of equation φ2(φ6(m))=2ω(m), based on the calculation formulas of generalized Euler function φ2(m) and generalized Euler function φ6(m), and combined with the properties of Euler function φ(m), the author gives all the 92 integer solutions of the equation.

Key words: Euler function φ(m), generalized Euler function φ2(m), generalized Euler function φ6(m), equation,  , integer solution