| Next prime | 8627 |
| Previous prime | 8609 |
| Octal | (20657)8 |
| Hexadecimal | (21AF)16 |
| Prime gap | 4 |
| 105th Prime triplet (the smallest number) | The others are 8627 and 8629 . |
| 181st Cousin prime (the small number) | The big number is 8627 . |
| 363rd Sexy prime (the small number) | The big number is 8629 . |
| 530th Prime of the Form 3n+1 | 142 + 3 * 532 |
| 539th Prime of the Form 4n+3 |