1. An image processing apparatus comprising: a characteristic region detecting section that detects a characteristic region in a plurality of moving-image-component images included in a moving image; an image dividing section that divides each of the plurality of moving-image-component images into the characteristic region and a background region other than the characteristic region; and a compressing section that compresses a characteristic region moving image including a plurality of characteristic region images each of which is an image of the characteristic region and a background region moving image including a plurality of background region images each of which is an image of the background region, at different strengths from each other, wherein the characteristic region detecting section detects a plurality of characteristic regions with different types of characters in the plurality of moving-image-component images, the image dividing section divides each of the plurality of moving-image-component images into the plurality of characteristic regions and the background region other than the plurality of characteristic regions, and the compressing section compresses a plurality of characteristic region moving images at strengths determined in accordance with a plurality of pieces of character information of the plurality of characteristic regions.