Social networks play an important role in human life, and the study of communities within them is of particular importance. In this research, sustainable communities called popular communities have been introduced and studied. In this regard, the life of social networks was considered in time snapshots. Then, the communities that which at least 45% of their members were present the next time snapshot were considered popular communities. In the next step, the structure of popular communities and their distinguishing features from other communities as well as some of their structural features along with the other centrality features were introduced. Finally, using the theory of rough set, the importance of the structural features was examined to predict popular communities using the rules derived from this theory. Also, the importance of popular nodes introduced in this study in terms of, Integrated Value of Influence (IVI), Collective Influence (CF) and Spreading Score was compared with the maximum nodes of these values in each of the popular communities. In this study, we tested the performance of our proposed model on the actual Facebook database. We used rough set theory to generate the rules and model learning. Leader-Node, Popular-Node, Closeness, Eigen Centralization, Betweenness and Community Density were used as features and Popular Community was used as a label. In the experiment, 10-Fold Cross-Validation was used for model learning and Standard Voting was used as a classifier in the ROSETTA toolkit environment. The experiment has shown that if the average of an entire community is low on closeness, betweenness, and eigenvector centrality but with a high number of popular nodes, the chances of the community remaining popular increase. In addition, the high density of the community is not a good criterion for the community to remain popular at all. It was also shown that with the help of these features, the popular communities were predicted with almost 84% accuracy. On the other hand, the nodes with the maximum values of IVI, CF and Spreading Score were a subset of popular nodes. This shows the importance of popular nodes in social networks which introduced in this study.