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sphenic n.  and  strobogrammatic n.

First numbers that belong to both sets:

609, 906, 986, 1001, 6969, 11811, 16891, 60009, 60109, 61019, 66099, 66899, 68089, 81818, 98186, 98886, 99166, 110011, 118811, 168891, 189681, 198861, 199661, 606909, 608809, 681189, 691169, 819618, 866998, 900006, 901106, 908806, 980086, 991166, 998866, 1010101, 1018101, 1060901, 1088801, 1108011, 1161911, 1181811, 1188811, 1600091, 1608091, 1660991, 1661991, 1688891, 1810181, 1811181, 1818181, 1860981, 1888881, 1890681, 1891681, 1900061, 1980861, 1981861, 1991661, 6010109, 6061909, 6088809, 6161919, 6190619, 6600099, 6668999, 6698699, 6818189, 6891689, 6910169, 6918169, 6998669, 8101018, 8110118, 8111118, 8161918, 8168918, 8190618, 8191618, 8601098, 8611198, 8618198, 8661998, 8688898, 9008006, 9080806, 9088806, 9091606, 9808086, 9810186, 9818186, 9861986, 9901066, 9910166, 9911166, 9991666, 9998666, 10100101, 10169101, 10188101, 10611901, 10888801, 11000011, 11011011, 11169111, 11188111, 11600911, 11611911, 11811811, 11969611, 11996611, 16011091, 16096091, 16100191, 16111191, 16196191, 16600991, 16611991, 16688991, 16888891, 18069081, 18096081, 18100181, 18196181, 18869881, 18888881, 18896881, 18900681, 18911681, 19069061, 19169161, 19196161, 19969661, 60011009, 60188109, 60600909, 60811809, 60911609, 60988609, 61011019, 61169119, 61611919, 61800819, 61900619, 66000099, 66011099, 66800899, 66988699, 68069089, 68096089, 68100189, 68169189, 68188189, 68600989, 68688989, 68696989, 68800889, 68988689, 69100169, 69169169, 69196169, 69611969, 69811869, 69996669, 81100118, 81611918, 81696918, 81888818, 81900618, 81911618, 81969618, 86100198, 86188198, 86669998, 86696998, 86911698, 86969698, 90011006, 90088006, 90111106, 90169106, 90811806, 90869806, 90888806, 98000086, 98188186, 98669986, 98696986, 98800886, 98896886, 98911686, 98996686, 99196166, 99688966, 99696966, 99988666.