Integers for which Divisor Sum of Phi equals Divisor Sum

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


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