  We report rotation periods, variability characteristics, gyrochronological
ages for ~950 of the Kepler Object of Interest host stars. We find a wide
dispersion in the amplitude of the photometric variability as a function of
rotation, likely indicating differences in the spot distribution among stars.
We use these rotation periods in combination with published spectroscopic
measurements of vsini and stellar parameters to derive the stellar inclination
in the line-of-sight, and find a number of systems with possible spin-orbit
misalignment. We additionally find several systems with close-in planet
candidates whose stellar rotation periods are equal to or twice the planetary
orbital period, indicative of possible tidal interactions between these planets
and their parent stars. If these systems survive validation to become confirmed
planets, they will provide important clues to the evolutionary history of these
systems.
