I think I've figured it out:
I noticed that it was always only certain pages that were causing the router to crash, and even then, not all the time. I made a note of these pages, and took a look at them on the ethernet connected PC.
They all have one similarity - they contain posts by "Chrysalis", or, more specifically, his/her signature (the one telling you your IP and OS).
I haven't done that many tests (going up and downstairs to reboot the router becomes tedious after a while!), but that sig appears to crash my router somewhere between 50%-75% of the times I access it.
Judging by the relatively small interest in this thread, I guess I'm the only one having this problem - at least maybe this can be a good reference for people in the future, should the same happen to them.
My temp fix for the time being is to turn off signatures in the user cp. I think I'll email Netgear next to see if this is a known bug.
Thanks to all who tried to help