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nonagonal n.  and  sphenic n.

First numbers that belong to both sets:

154, 474, 651, 969, 1491, 2301, 2674, 3286, 3729, 5781, 9334, 9699, 11229, 15081, 16491, 18469, 21099, 21646, 25671, 27501, 36159, 36874, 39061, 44409, 51789, 53506, 57921, 61579, 62511, 69231, 70219, 76294, 77331, 79426, 86979, 96031, 105531, 109209, 110449, 120621, 135339, 138106, 140901, 148011, 158259, 164269, 171939, 173494, 178201, 182971, 189429, 195999, 223399, 232329, 239599, 250714, 252591, 269799, 285571, 297694, 316351, 348706, 353139, 396649, 425431, 437721, 447679, 467931, 470494, 509779, 525934, 539589, 550639, 561801, 575911, 593074, 622239, 655129, 670359, 682669, 695091, 704481, 717099, 720271, 749134, 785181, 798499, 811929, 835701, 849439, 905511, 948741, 996711, 1007949, 1023031, 1068949, 1072821, 1119831, 1147719, 1151731, 1200421, 1229289, 1245939, 1262701, 1288054, 1330869, 1370001, 1378774, 1391986, 1400829, 1458991, 1472581, 1490799, 1532199, 1564791, 1583569, 1588281, 1621461, 1683991, 1698589, 1703469, 1757611, 1817641, 1878679, 1925119, 1982649, 1987921, 2025021, 2051731, 2084014, 2132911, 2221239, 2249209, 2311359, 2317051, 2334169, 2339889, 2362839, 2368594, 2403271, 2491066, 2520681, 2544499, 2671381, 2763901, 2820169, 2870661, 2921601, 2953666, 2966541, 3050911, 3070549, 3096831, 3149731, 3345249, 3434806, 3476539, 3539611, 3589059, 3797569, 3848781, 3907729, 3937371, 3974581, 4057059, 4109986, 4132774, 4186191, 4209189, 4239951, 4458421, 4482154, 4529809, 4561719, 4593741, 4617831, 4650049, 4690479, 4821031, 4886979, 4945051, 4986741, 5053809, 5283471, 5300686, 5326561, 5361159, 5456881, 5527029, 5704359, 5722246, 5785071, 5848239, 5857291, 5884489, 6113589, 6178521, 6215779, 6356494, 6527431, 6594519, 6604131, 6817366, 6836919, 6846706, 6876109, 7024069, 7033989, 7324714, 7395771, 7538914, 7590369, 7600681, 7631659, 7724971, 7797939, 7839789, 7966011, 8040106, 8103889, 8232211, 8318319, 8329114, 8361541, 8437449, 8590294, 8667231, 8755579, 8888941, 8922439, 8967201, 9057061, 9192691, 9363646, 9420981, 9570871, 9675334, 9850699, 9921286, 10075089, 10134559, 10218111, 10278001, 10314019, 10326039, 10422451, 10495054, 10567909, 10763421, 10812579, 11122354, 11159821, 11197351, 11297739, 11512551, 11690974, 11729386, 11806399, 11870769, 11922391, 12000034, 12116971, 12392029, 12484401, 12550591, 12590389, 12656859, 12750211, 12870739, 13181331, 13194919, 13290231, 13317526, 13674909, 13688749, 13897189, 13911141, 13939066, 14304639, 14403871.

Some larger examples :