On integers with a special divisibility property

William D. Banks, Florian Luca

Department of Mathematics, University of Missouri, Columbia, MO 65211, USA

Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, C.P. 58089, Morelia, Michoacan, Mexico

E-mail. bbanks@math.missouri.edu

E-mail. fluca@matmor.unam.mx

In this note, we study those positive integers $n$ which are divisible by $\sum_{d|n}\lambda(d)$, where $\lambda(\cdot)$ is the Carmichael function.

AMSclassification. 11N37.

Keywords. Euler function, Carmichael function.