Cutting insert, cutting tool, and method of manufacturing machined product using the same

A cutting insert, comprising:

• a first surface;
• a second surface located opposite to the first surface;
• a side surface connected to each of the first surface and the second surface;
• a first edge located at an intersection of the first surface and the side surface, and
• a second edge located at an intersection of the second surface and the side surface, wherein
• the second surface comprises:
• a first corner having a convex curved shape;
• a second corner having a convex curved shape;
• a first side connected to the first corner and the second corner;
• a second side extending from the first corner;
• a third side extending from the second corner;
• a rake surface located along the second edge;
• and
• a mount part located closer to a center of the second surface than the rake surface;
• each of the first side, the second side and the third side is straight in a front view of the second surface,
• the mount part comprises:
• a first vertex portion located inward of the first corner;
• and
• a second vertex portion located inward of the second corner and closer to the first surface than the first vertex portion;
• and
• a first interior angle formed by the first side and the second side is smaller than a second interior angle formed by the first side and the third side in the front view.