%0 Journal Article %T On arithmetic functions of balancing and Lucas-balancing numbers %A Dutta %A Utkal Keshari %A Ray %A Prasanta Kumar %J - %D 2019 %X Sa£żetak For any integers $n\geq1$ and $k\geq0,$ let $\phi(n)$ and $\sigma_{k}(n)$ denote the Euler phi function and the sum of the $k$-th powers of the divisors of $n$, respectively. In this article, the solutions to some Diophantine equations about these functions of balancing and Lucas-balancing numbers are discussed %K Euler phi function %K divisor function %K balancing numbers %K Lucas-balancing numbers %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=314484