| Next prime | 8291 |
| Previous prime | 8273 |
| Octal | (20137)8 |
| Hexadecimal | (205F)16 |
| Prime gap | 4 |
| 102nd Prime triplet (the smallest number) | The others are 8291 and 8293 . |
| 176th Cousin prime (the small number) | The big number is 8291 . |
| 355th Sexy prime (the small number) | The big number is 8293 . |
| 511th Prime of the Form 3n+1 | 222 + 3 * 512 |
| 523rd Prime of the Form 4n+3 |