From dictionary.com
cult
–noun
1. a particular system of religious worship, esp. with reference to its rites and ceremonies.
2. an instance of great veneration of a person, ideal, or thing, esp. as manifested by a body of admirers: the physical fitness cult.
3. the object of such devotion.
4. a group or sect bound together by veneration of the same thing, person, ideal, etc.
5. Sociology. a group having a sacred ideology and a set of rites centering around their sacred symbols.
6. a religion or sect considered to be false, unorthodox, or extremist, with members often living outside of conventional society under the direction of a charismatic leader.
7. the members of such a religion or sect.
8. any system for treating human sickness that originated by a person usually claiming to have sole insight into the nature of disease, and that employs methods regarded as unorthodox or unscientific.
–adjective
9. of or pertaining to a cult.
10. of, for, or attracting a small group of devotees: a cult movie.
I hope this is helpful in avoiding confusion.occult
–adjective
1. of or pertaining to magic, astrology, or any system claiming use or knowledge of secret or supernatural powers or agencies.
2. beyond the range of ordinary knowledge or understanding; mysterious.
3. secret; disclosed or communicated only to the initiated.
4. hidden from view.
5. (in early science)
a. not apparent on mere inspection but discoverable by experimentation.
b. of a nature not understood, as physical qualities.
c. dealing with such qualities; experimental: occult science.
6. Medicine/Medical. present in amounts too small to be visible: a chemical test to detect occult blood in the stool.
–noun
7. the supernatural or supernatural agencies and affairs considered as a whole (usually prec. by the).
8. occult studies or sciences (usually prec. by the).
–verb (used with object)
9. to block or shut off (an object) from view; hide.
10. Astronomy. to hide (a celestial body) by occultation.
–verb (used without object)
11. to become hidden or shut off from view.