First numbers that belong to both sets:
1,
9,
64,
108,
121,
288,
400,
512,
648,
1728,
2312,
3528,
5776,
6272,
6889,
7396,
7688,
8836,
9409,
9747,
10368,
10816,
10952,
11907,
12100,
12168,
12348,
13068,
17689,
18769,
19208,
21168,
22472,
22707,
23328,
25947,
27556,
27848,
29929,
30752,
30976,
33856,
34969,
35937,
37636,
42632,
44217,
45387,
46208,
47916,
49729,
50653,
54925,
59168,
64827,
65536,
69169,
69696,
70688,
70756,
75076,
75625,
76729,
77976,
78125,
80000,
80656,
86528,
87808,
98000,
110224,
111392,
123823,
124609,
126736,
128547,
129032,
132496,
133128,
134689,
136107,
137288,
146016,
154568,
156816,
162409,
165649,
177147,
190096,
195112,
196249,
202248,
206116,
208849,
212552,
213867,
215296,
223587,
249696,
254016,
264627,
270848,
275427,
275684,
276125,
279936,
284089,
286225,
287496,
288800,
298116,
300763,
310472,
314432,
320787,
332667,
344569,
356168,
369800,
373527,
382347,
388129,
389376,
390625,
390728,
396508,
401956,
405769,
414736,
419528,
427716,
452929,
458329,
463347,
465125,
467856,
480491,
484416,
497025,
508369,
509796,
512072,
512656,
518616,
521667,
524176,
524288,
525625,
528125,
528529,
561816,
566048,
582169,
599076,
600608,
615627,
617796,
629856,
645248,
646416,
657721,
664225,
665856,
677376,
681472,
695556,
710432,
715716,
734449,
744775,
746496,
751896,
766656,
767376,
771147,
780125,
799236,
804357,
814088,
822649,
845000,
853776,
861125,
861224,
868624,
876096,
884736,
889056,
893025,
898425,
937024,
940896,
968256,
970225,
978121,
1000000,
1000188,
1002528,
1013888,
1020100,
1067089,
1069227,
1075369,
1088856,
1089936,
1090827,
1114407,
1136356,
1137032,
1155625,
1175056,
1176125,
1177225,
1179396,
1181569,
1182816,
1199025,
1204352,
1218816,
1247616,
1250000,
1266325,
1275125,
1285956,
1288408,
1318492,
1336336,
1338248,
1352569,
1354896,
1357225,
1361367,
1377800,
1380625,
1382976,
1385329,
1401856,
1404488,
1440747,
1471369,
1481089,
1485172,
1498176,
1520768,
1527696,
1542267,
1548800,
1572516,
1591328,
1597536,
1605289,
1623076,
1648656,
1653125,
1661168,
1682000,
1692800,
1708249,
1722368,
1724976,
1726596,
1757600,
1758276,
1770125,
1803649,
1811187,
1819801,
1838736,
1841449,
1878268,
1881800,
1908576,
1909924,
1920996,
1921964,
1940449,
1946025,
1971216,
1990656,
2024072.
Some larger examples :
995574944,
995591809,
995781136,
995795883,
996004000,
996007712,
996186248,
996335424,
996721952,
996779952,
996791184,
996854329,
996917476,
996974433,
997615112,
999065664,
999078003,
999698000,
999760328,
999887641.