First numbers that belong to both sets:
324,
625,
1764,
6400,
6724,
9216,
10404,
10816,
11664,
12996,
17424,
19044,
21904,
23104,
27225,
30625,
33124,
34225,
35344,
36864,
38025,
38416,
44944,
45796,
46656,
49284,
51984,
53824,
56644,
60516,
63504,
68644,
73984,
76176,
77284,
79524,
82944,
84100,
85264,
86436,
87025,
91204,
93025,
94864,
96100,
97344,
101124,
105625,
111556,
112896,
114244,
118336,
119716,
121104,
123904,
128164,
133225,
133956,
136900,
142884,
145924,
150544,
152100,
153664,
156025,
161604,
166464,
169744,
171396,
178084,
181476,
183184,
191844,
195364,
198025,
198916,
200704,
202500,
206116,
211600,
216225,
219024,
228484,
230400,
232324,
235225,
236196,
248004,
254016,
260100,
264196,
265225,
266256,
268324,
272484,
278784,
286225,
289444,
291600,
298116,
311364,
315844,
318096,
320356,
327184,
334084,
338724,
342225,
348100,
350464,
357604,
364816,
374544,
376996,
381924,
389376,
390625,
394384,
396900,
399424,
403225,
412164,
419904,
422500,
429025,
435600,
451584,
459684,
465124,
467856,
473344,
483025,
487204,
492804,
497025,
501264,
515524,
518400,
525625,
535824,
540225,
544644,
550564,
553536,
559504,
568516,
574564,
580644,
585225,
586756,
599076,
605284,
611524,
624100,
643204,
652864,
656100,
659344,
664225,
672400,
675684,
685584,
695556,
697225,
702244,
705600,
708964,
715716,
729316,
731025,
736164,
748225,
749956,
756900,
760384,
767376,
774400,
777924,
784996,
799236,
801025,
806404,
810000,
824464,
831744,
837225,
853776,
855625,
861184,
868624,
879844,
883600,
887364,
898704,
906304,
910116,
912025,
931225,
937024,
944784,
950625,
956484,
960400,
964324,
970225,
984064,
1004004,
1010025,
1024144,
1030225,
1044484,
1050625,
1052676,
1056784,
1060900,
1065024,
1069156,
1081600,
1089936,
1094116,
1102500,
1106704,
1119364,
1134225,
1140624,
1149184,
1153476,
1175056,
1179396,
1183744,
1188100,
1199025,
1218816,
1227664,
1232100,
1243225,
1254400,
1272384,
1281424,
1285956,
1288225,
1295044,
1317904,
1327104,
1334025,
1340964,
1345600,
1354896,
1357225,
1359556,
1373584,
1397124,
1411344,
1420864,
1425636,
1440000,
1452025,
1454436,
1478656,
1488400,
1498176,
1500625,
1503076,
1507984,
1512900,
1517824,
1522756,
1527696,
1542564,
1562500,
1567504,
1582564,
1587600,
1592644,
1633284,
1638400,
1643524,
1648656,
1669264,
1677025.
Some larger examples :
9585216,
9597604,
9610000,
9622404,
9659664,
9684544,
9696996,
9709456,
9734400,
9746884,
9771876,
9784384,
9796900,
9809424,
9847044,
9872164,
9884736,
9922500,
9935104,
9972964.