| Next prime | 1667 |
| Previous prime | 1657 |
| Octal | (3177)8 |
| Hexadecimal | (67F)16 |
| Prime gap | 4 |
| 43rd Prime triplet (the smallest number) | The others are 1667 and 1669 . |
| 59th Cousin prime (the small number) | The big number is 1667 . |
| 113th Sexy prime (the small number) | The big number is 1669 . |
| 126th Prime of the Form 3n+1 | 342 + 3 * 132 |
| 135th Prime of the Form 4n+3 |