The XYZ corporation pension plan provides a lifetime annual income to its employees upon retirement at age $65.$ The plan provides $4\%$ for each year of service of the employee's salary upon retirement. Moreover, those retiring after $65$ have their benefit increased by $1\mathrm{.}3\%$ for each year beyond $65$ that they work.

Caitlin retires at age $71$ with $16$ years of service. If her salary upon retirement is $$57,705,$ what is her annual pension benefit?

Round your answer to the nearest dollar.