University of Michigan Honors

Is Honors there selective? Is it as prestigious as an Ivy League school?

No, it’s not as prestigious as an Ivy, but prestige doesn’t correlate with quality of academics. UMich is a selective school that attracts very capable applicants, so honors is definitely selective as well.

Is it a matter of professors and opportunities?

Also, prestige is in the eye of the beholder. Better question is, what are you looking for in college and after?