1662 * Given a four-digit number that satisfies the following conditions: (1) if the units digit and the hundreds digit, as well as the tens digit and the thousands digit, are simultaneously swapped, the value increases by 5940; (2) when divided by 9, the remainder is 8. Find the smallest odd number among such four-digit numbers.
Parse: Since the unit digit of 5940 is 0, the unit digit of the original four-digit number is the same as the white digit. Therefore, we can assume this four-digit number is $\overline{a b c b}$. From $\overline{c b a b}-\overline{a b c b}=5940$, we get $c-a=16$.
The minimum value of $a$ is 1, at this time $c=7$. Since $\overline{a b c b}$ divided by 9 leaves a remainder of 8, $2b$ is a multiple of 9, so $b=9$ or 0. Since $\overline{a b c b}$ is an odd number, $b=9$. Therefore, the number sought is 1979.