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centered nonagonal n.  and  sphenic n.

First numbers that belong to both sets:

190, 406, 595, 946, 1378, 2278, 2485, 3655, 4465, 5995, 7021, 8515, 8911, 10153, 10585, 11026, 13366, 14878, 16471, 18145, 20503, 21115, 22366, 23005, 23653, 26335, 28441, 32131, 36046, 40186, 42778, 44551, 45451, 48205, 50086, 54946, 55945, 69751, 75466, 77815, 83845, 87571, 92665, 93961, 97903, 99235, 115921, 129286, 132355, 137026, 138601, 149878, 153181, 154846, 159895, 179101, 180901, 193753, 201295, 208981, 212878, 216811, 232903, 239086, 241165, 243253, 249571, 251695, 275653, 277885, 293761, 298378, 303031, 310078, 314821, 317206, 322003, 334153, 341551, 344035, 364231, 374545, 403651, 411778, 417241, 425503, 439453, 447931, 459361, 470935, 473851, 506521, 509545, 521731, 530965, 534061, 543403, 552826, 571915, 584821, 594595, 607753, 614386, 621055, 624403, 631126, 637885, 648091, 651511, 675703, 686206, 718201, 747253, 754606, 791911, 795691, 826255, 841753, 905185, 917335, 983503, 1004653, 1017451, 1073845, 1091503, 1109305, 1113778, 1122751, 1127251, 1140805, 1145341, 1172746, 1181953, 1214461, 1233235, 1252153, 1276003, 1290421, 1339066, 1348903, 1368685, 1393615, 1408681, 1474903, 1485226, 1490401, 1500778, 1516411, 1553203, 1558495, 1579753, 1595791, 1601155, 1622701, 1638955, 1688203, 1704781, 1743778, 1771903, 1794565, 1863415, 1886653, 1898326, 1933561, 1957231, 1963171, 1993006, 2023066, 2083861, 2108431, 2158003, 2170486, 2176741, 2208151, 2227105, 2233441, 2252503, 2336041, 2362051, 2381653, 2407915, 2460871, 2467531, 2514403, 2521135, 2534626, 2548153, 2568511, 2575315, 2602621, 2630071, 2657665, 2664586, 2706301, 2734291, 2755378, 2790703, 2812006, 2826253, 2854855, 2876401, 2905255, 2934253, 2963395, 2970703, 3029491, 3044278, 3066526, 3118753, 3171421, 3178981, 3232153, 3293461, 3332071, 3386503, 3394315, 3417805, 3488761, 3520531, 3584503, 3608641, 3616705, 3624778, 3640951, 3665278, 3673405, 3681541, 3706003, 3730546, 3738745, 3771631, 3812941, 3929806, 4014361, 4022866, 4048435, 4074085, 4108411, 4186171, 4229686, 4317391, 4326211, 4361581, 4370446, 4397095, 4414906, 4432753, 4459591, 4504501, 4640581, 4750903, 4760155, 4797253, 4825171, 4834495, 4871881, 4909411, 4937653, 5022865, 5060971, 5080078, 5099221, 5166505, 5205151, 5243941, 5253661, 5440051, 5449951, 5469778, 5519503, 5569453, 5599531, 5639761, 5680135, 5690251, 5730805, 5771503, 5802121, 5822578, 5843071.

Some larger examples :