Provided are an endoscopic system, a processor device, and a method of operating an endoscopic system that accurately index the depth of blood vessels within tissue of an observation object irrespective of the scattering characteristics of the observation object. A blood vessel depth feature amount calculation unit calculates a blood vessel depth feature amount. A scattering characteristics feature amount calculation unit calculates a scattering characteristics feature amount in which the blood vessel depth feature amount is not included and scattering characteristics in an observation object are reflected. A feature amount correction unit corrects the blood vessel depth feature amount depending on the scattering characteristics feature amount to obtain a corrected blood vessel depth feature amount. A display unit displays a blood vessel depth image on the basis of the corrected blood vessel depth feature amount.