Problems & Puzzles: Puzzles

Puzzle 458. Related to Puzzle 451 Farideh Firoozbakht sent the following puzzle: Can you find a number n with the following two properties? 1. The set of prime factors of σ(n) is a proper subset of the set of prime factors of n. 2. The set of prime factors of n is a proper subset of the set of prime factors of φ(n).

---