2001 Honda Accord radio doesn't work

One day my radio would not turn on, we checked the fuses and replaced them, all are fine. Sometimes it will just turn on while I'm driving and sometimes it won't work for days. The security light next to the radio blinks, but it doesn't ask me for a code. I feel like it has to do with the internal security b/c sometimes if I shut the door and then only turn the key slightly, the radio will kick on. Has anybody had this problem?
Please help!