Integers for which Divisor Sum of Phi equals Divisor Sum

Theorem
The following positive integers have the property that the divisor sum of their Euler $\phi$ value equals their divisor sum:
 * $\map {\sigma_1} {\map \phi n} = \map {\sigma_1} n$


 * $1, 87, 362, 1257, 1798, 5002, 9374, \ldots$