Lots of areas in Paris where you can't even walk around because it's too dangerous - the river is really the least of our problems.
Here's a link to a "BeSafe" app to help you navigate Paris without being pickpocketed or shanked! https://apps.apple.com/us/app/besafe/id425631096
You are actually more likely to get mugged on the Champs Elysées or the 16th.