| Next prime | 6343 |
| Previous prime | 6329 |
| Octal | (14301)8 |
| Hexadecimal | (18C1)16 |
| Prime gap | 6 |
| 297th Sexy prime (the small number) | The big number is 6343 . |
| 404th Prime of the Form 3n+1 | 232 + 3 * 442 |
| 404th Prime of the Form 4n+1 | 362 + 712 |
| 113th Left-truncatable prime |