After I reset it again, I was able to get in via the web interface. Everything appears to be working, only the Android app is useless, because there is apparently no way to add the device. I can only get as far as setting the password. After that, things fall apart (except, apparently the password is set, because that password let me get in through the web interface).
I'm trying the firmware upgrade through the web interface (which tells me it is 1.05.07 build 3306).