WordWeb Online

1. Deeply absorbed in thought
   "as distant and bemused as a professor listening to the prattling of his freshman class";
   - lost, preoccupied
    
2. Perplexed by many conflicting situations or statements; filled with bewilderment
   "obviously bemused by his questions";
   - baffled, befuddled, bewildered, confounded, confused, lost, mazed, mixed-up, at sea

1. Cause to be confused emotionally
   "This play will delight and bemuse you with its nimble humour";
   - bewilder, discombobulate [informal], throw

See also: perplexed, thoughtful

Type of: discomfit, discompose, disconcert, untune, upset