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sphenic n.  and  upside-down n.

First numbers that belong to both sets:

258, 357, 555, 654, 2198, 2378, 4646, 4826, 5285, 5555, 5735, 6194, 6554, 7553, 7733, 8282, 8642, 8822, 9191, 9821, 9911, 16549, 25558, 36547, 42586, 48526, 51595, 52585, 54565, 55555, 56545, 57535, 65554, 73573, 78523, 79513, 82582, 88522, 95551, 111999, 113799, 118299, 124689, 126489, 133779, 135579, 139179, 141969, 143769, 148269, 149169, 153759, 154659, 158259, 161949, 162849, 164649, 165549, 166449, 168249, 171939, 172839, 173739, 174639, 176439, 179139, 187329, 189129, 192819, 193719, 194619, 196419, 198219, 215598, 216498, 218298, 234678, 237378, 239178, 253758, 254658, 256458, 276438, 279138, 293718, 294618, 295518, 299118, 314697, 317397, 319197, 321987, 322887, 323787, 324687, 327387, 329187, 331977, 334677, 335577, 336477, 339177, 345567, 346467, 347367, 353757, 355557, 359157, 362847, 364647, 368247, 374637, 375537, 376437, 377337, 379137, 383727, 384627, 386427, 389127, 392817, 393717, 394617, 422886, 426486, 443766, 446466, 447366, 449166, 461946, 462846, 463746, 465546, 468246, 469146, 482826, 483726, 486426, 488226, 513795, 514695, 519195, 523785, 526485, 527385, 529185, 541965, 542865, 543765, 548265, 552855, 556455, 558255, 559155, 561945, 564645, 572835, 579135, 591915, 592815, 593715, 596415, 597315, 611994, 612894, 613794, 618294, 635574, 653754, 659154, 672834, 673734, 675534, 678234, 679134, 691914, 692814, 694614, 713793, 714693, 716493, 721983, 727383, 733773, 734673, 735573, 736473, 738273, 741963, 742863, 744663, 747363, 751953, 754653, 755553, 757353, 758253, 759153, 763743, 766443, 768243, 773733, 776433, 779133, 781923, 784623, 785523, 786423, 789123, 795513, 799113, 822882, 824682, 825582, 829182, 842862, 843762, 862842, 866442, 881922, 882822, 915591, 918291, 921981, 923781, 924681, 928281, 931971, 932871, 933771, 936471, 937371, 939171, 942861, 944661, 945561, 946461, 947361, 953751, 954651, 955551, 958251, 959151, 966441, 967341, 969141, 971931, 974631, 975531, 978231, 979131, 983721, 984621, 985521, 986421, 988221, 991911, 992811, 993711, 997311, 998211, 999111, 1145699, 1225889, 1315979, 1345679, 1425869, 1475369, 1555559, 1585259, 1645649, 1755539, 1765439, 1795139, 1835729, 1925819, 1945619, 1975319, 1995119, 2115998.

Some larger examples :