Jesus was and is a man. He is the only immortal man but he is still a man. He is called the "Last Adam" by Paul in 1 Corinthians 15. Like Adam, he is the firstborn of a new creation. (See Colossians 1:18; 2 Corinthians 5:17; Galatians 6:15)
Here is a description of Jesus as he is today at the right hand of His Father in heaven:
1 Timothy 2:5 For there is one God and one Mediator between God and men, the man Christ Jesus
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I hope you have found this helpful.
God bless,
Mike