math_fact: 5670 is a value of n for which f(n) and s(n) are square.
trivia: 5670 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
historical_date: July 10th is the day in 1850 that Millard Fillmore is inaugurated as the 13th President of the United States upon the death of President Zachary Taylor, 16 months into his term.