Are cockroaches impure or pure, and is there a difference in this regard between them and sewer cockroaches, and are they considered among the creatures that do not have flowing blood, and what is the ruling on the prayer of one who kills a cockroach on their body, even if it is large?

Cockroaches are pure during their lifetime, and they are among creatures that do not have flowing blood. The majority of scholars have held the view that the dead body of a creature that does not have flowing blood is pure.

Therefore, the death of a cockroach on a worshiper's body or clothes does not harm the prayer, with the exception of cockroaches from lavatories (toilets). If their impurity is asserted, then they must be avoided; otherwise, they are pure.