1. The product of two natural numbers that are reverses of each other is 92565. Find these two reverse natural numbers. (For example, 102 and 201; 35 and 53; 11 and 11, are called reverse numbers, but 120 and 21 are not reverse numbers.)
1.【Solution】$92565=3 \times 3 \times 5 \times 11 \times 11 \times 17$. In two natural numbers that are reverses of each other, if one is a multiple of 3 (or 11), the other must also be a multiple of 3 (or 11). Since the product is a five-digit number, these two numbers must be three-digit numbers. We have
$$
92565=(3 \times 5 \times 11) \times(3 \times 17 \times 11)=165 \times 561
$$

Thus, these two numbers are 165 and 561