(number theory) deficient number, a number for which the sum of proper divisors is less than that number

hole, cave

top / peak, summit / upset

footwear, footgear: a shoe, (a pair of) shoes

humiliation, mortification

humiliate, mortify, demean

cave

tight, cramped, tight-fitting, rigid, uncomfortable, uneasy / narrow / illiberal, oppressive, uncomfortable

agony, pain / distress, torment, anguish

sense of humiliation