This is the 2695th most frequent Russian word.
архангельской
The word "архангельской" is the genitive or adjectival form of "Архангельск" (Arkhangelsk), relating to the city of Arkhangelsk or the Arkhangelsk region in Russia.
The word 'Архангельской' is used as an adjective modifying the noun 'области' to indicate its relation to Arkhangelsk.
Я купил книгу о культуре Архангельской области.
I bought a book about the culture of the Arkhangelsk region.
In this sentence, 'Архангельской' functions as an adjective describing the noun 'природы' to specify that the nature being referred to is that of Arkhangelsk.
Мы отправились в поездку по красивым местам Архангельской природы.
We went on a trip to the beautiful places of the Arkhangelsk nature.
Here, 'Архангельской' acts as a possessive adjective modifying the implied noun related to Arkhangelsk, commonly referring to the city's center.