The antonyms for the word "be engrossed by" can be summarized as follows: to be disinterested, to be apathetic, to be detached, to be uninvolved, and to be indifferent. These antonyms suggest a lack of interest or involvement in a particular topic or activity. For example, if someone is disinterested in a conversation, they may appear bored and uninterested. If someone is apathetic, they may lack motivation or enthusiasm for a task. On the other hand, being engaged may indicate a deep interest, passion, or investment in a subject or task. Understanding these antonyms can help us communicate more effectively and avoid misunderstandings when discussing our level of interest or involvement.