## On integers with a special divisibility property

##
*William D. Banks, Florian Luca *

**Address.**

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

**Abstract.**

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.