| Next prime | 8539 |
| Previous prime | 8527 |
| Octal | (20531)8 |
| Hexadecimal | (2159)16 |
| Prime gap | 2 |
| 183rd Twin prime (the small number) | The big number is 8539 . |
| 104th Prime triplet (the smallest number) | The others are 8539 and 8543 . |
| 362nd Sexy prime (the small number) | The big number is 8543 . |
| 529th Prime of the Form 4n+1 | 162 + 912 |