Well,
There are between 25,000 and 30,000 polar bears (conservatively). They are at carrying capacity in a couple of areas (like Davis Strait).
They live about 25 years on average.
600-800 are killed legally every year.
A bunch are killed not so legally.
The IUCN Polar Bear Specialist Group appears to avoid counting polar bears in 2/3rds of the habitat completely, and where bears are increasing (to keep older low numbers). Perhaps the PBSG should be defunded if they keep refusing to do their job.
It looks like the polar bear population is more or less in balance except possibly in Russia where there is some poaching.