First numbers that belong to both sets:
4,
9,
64,
72,
81,
108,
144,
225,
288,
324,
432,
441,
625,
675,
1089,
1152,
1681,
1728,
2592,
2601,
3528,
3600,
4096,
4500,
5184,
6084,
7200,
8464,
9000,
10976,
12500,
12544,
13689,
16641,
16875,
17576,
18252,
19044,
19600,
20808,
21600,
21632,
21952,
24200,
25281,
25947,
26912,
27225,
28224,
28800,
29584,
34848,
36864,
37044,
38025,
39204,
41067,
45369,
46656,
47524,
49392,
51984,
56169,
56448,
69192,
74529,
75843,
83232,
83349,
87025,
88804,
90828,
91809,
92416,
95481,
97200,
98568,
103684,
103968,
106929,
108900,
109512,
110592,
114075,
114244,
114264,
116964,
126736,
129600,
133100,
133956,
139968,
146016,
149769,
151263,
154449,
166464,
173056,
180000,
180500,
184041,
186624,
190125,
194481,
195112,
196000,
197568,
199692,
199809,
204800,
207936,
216225,
223729,
242064,
258064,
260100,
260876,
263169,
264600,
273800,
276125,
278784,
285156,
287496,
292032,
299475,
306916,
310472,
313600,
314432,
314721,
316368,
321489,
328329,
336400,
337500,
338724,
345600,
345744,
362952,
370881,
383688,
391876,
393129,
399384,
405224,
412164,
423200,
425104,
431244,
438048,
441000,
443556,
444528,
446224,
449307,
459684,
472392,
474552,
481636,
496125,
501264,
518400,
518616,
527076,
529984,
532512,
540225,
541696,
553536,
556516,
571536,
575532,
591872,
592900,
617796,
646416,
649636,
649800,
651249,
658952,
663552,
666792,
669124,
703125,
708588,
715208,
734472,
749088,
749956,
753424,
795664,
803736,
804609,
808992,
822649,
878004,
892448,
898425,
898704,
931225,
935712,
940896,
950625,
970225,
992016,
995328,
1014049,
1026675,
1028196,
1061208,
1065800,
1069156,
1071225,
1081125,
1108809,
1121481,
1143072,
1147041,
1170724,
1179396,
1190700,
1191016,
1214404,
1218375,
1225000,
1225125,
1234321,
1238769,
1247616,
1254528,
1276900,
1283148,
1285956,
1296000,
1306449,
1312200,
1318707,
1324801,
1342683,
1343281,
1371168,
1375929,
1404488,
1404500,
1404928,
1430416,
1440000,
1468944,
1483524,
1488375,
1512900,
1520289,
1520768,
1521000,
1527696,
1529388,
1535121,
1540125,
1543275,
1557504,
1572516,
1577536,
1597696,
1601613,
1602756,
1610361,
1677025,
1680700,
1685448,
1713481,
1718721,
1724976,
1755675,
1758276,
1779556,
1782225,
1798281,
1799512,
1805000.
Some larger examples :
97252056,
97264908,
97327197,
97357689,
97461125,
97594641,
97831881,
98128836,
98188281,
98545329,
98688375,
98784000,
98883136,
99015075,
99325548,
99574272,
99588352,
99648703,
99880036,
99904500.