| Next prime | 6379 |
| Previous prime | 6367 |
| Octal | (14345)8 |
| Hexadecimal | (18E5)16 |
| Prime gap | 6 |
| 301st Sexy prime (the small number) | The big number is 6379 . |
| 408th Prime of the Form 3n+1 | 52 + 3 * 462 |
| 407th Prime of the Form 4n+1 | 172 + 782 |
| 116th Left-truncatable prime |