Something that makes genes mutate, or change, is mutagenic. Most substances that are mutagenic also cause cancer.
Things that are mutagenic often turn out to also be carcinogenic, or cancer-causing, since genetic mutations so often cause cancer in cells. Some common things that are mutagenic include x-rays, chemicals found in tobacco, metals like arsenic, and even some viruses and bacteria. Mutagenic comes from mutagen, which combines mutation, "action of changing," and -gen, or "thing that produces."