Question 37
For a positive integer $k$, let $d(k)$ denote the number of divisors of $k$ (e.g. $d(12) = 6$) and let $s(k)$ denote the digit sum of $k$ (e.g. $s(12) = 3$). A positive integer $n$ is said to be *amusing* if there exists a positive integer $k$ such that $d(k) = s(k) = n$. What is the smallest amusing odd integer greater than $1$?