Question 67
Let $n$ be a positive integer with at least four different positive divisors. The four smallest among these dividers are $d_{1}, d_{2}, d_{3}, d_{4}$. Find all such numbers $n$ for which applies
$$
d_{1}^{2}+d_{2}^{2}+d_{3}^{2}+d_{4}^{2}=n
$$
$$
d_{1}^{2}+d_{2}^{2}+d_{3}^{2}+d_{4}^{2}=n
$$