A ghayr munṣarif (diptote) is a declinable noun with special restrictions: it does not take ordinary tanwīn and, in its basic indefinite, non-iḍāfa use, it takes fatḥa rather than kasra in the genitive.
Keep two distinctions clear:
1. It remains muʿrab: case changes still occur.
2. It is not mabnī (indeclinable). The visible contrast between «عُمَرُ» and «عُمَرَ» shows this.
The complete list of causes for diptote status belongs to a later, separate discussion.