| Next prime | 823 |
| Previous prime | 811 |
| Octal | (1465)8 |
| Hexadecimal | (335)16 |
| Prime gap | 2 |
| 32nd Twin prime (the small number) | The big number is 823 . |
| 25th Prime triplet (the smallest number) | The others are 823 and 827 . |
| 5th Prime quadruplet (the smallest number) | The others are 823 , 827 and 829 . |
| 64th Sexy prime (the small number) | The big number is 827 . |
| 69th Prime of the Form 4n+1 | 142 + 252 |