First numbers that belong to both sets:
216,
1024,
2025,
4624,
4913,
5324,
5625,
7225,
10609,
11025,
13824,
14112,
16928,
17424,
18225,
19321,
21316,
21609,
23409,
23716,
24025,
27225,
28125,
28224,
30625,
31212,
34225,
35721,
38025,
41209,
42025,
44521,
47524,
49928,
50625,
53824,
55125,
57121,
59319,
60025,
61009,
62424,
65025,
65219,
66125,
68121,
70225,
71824,
78732,
81225,
87025,
91125,
93025,
95832,
99127,
114921,
119025,
120409,
122825,
123008,
130321,
133225,
136125,
140625,
148225,
156025,
163216,
164025,
178929,
180625,
190125,
192721,
202612,
205209,
216225,
219024,
223112,
225625,
231525,
232324,
233523,
235224,
238328,
239121,
239432,
245025,
246016,
248832,
253125,
255025,
256036,
256328,
265225,
265837,
268119,
273529,
274625,
277729,
283024,
292032,
308025,
309123,
314721,
319225,
325125,
332929,
342225,
354025,
366025,
378125,
381024,
390224,
403225,
406125,
408321,
416025,
429025,
435125,
446224,
463736,
465124,
469225,
483025,
492032,
493039,
505521,
508032,
511225,
515524,
540225,
552123,
555025,
561125,
570025,
575532,
596232,
599427,
613832,
616225,
622521,
632025,
666125,
669124,
674028,
677329,
700928,
703125,
703921,
714025,
729632,
731025,
739328,
741125,
741321,
748225,
769129,
788544,
790321,
798848,
820125,
821516,
851929,
855432,
859329,
865928,
874225,
879844,
903125,
912025,
913936,
923521,
931225,
954529,
957728,
964324,
985527,
988036,
990125,
995328,
1005723,
1006009,
1010025,
1054729,
1065024,
1071225,
1081125,
1092025,
1092727,
1105425,
1110916,
1113025,
1128125,
1131008,
1134225,
1140624,
1149128,
1159929,
1170724,
1191016,
1201216,
1221025,
1225125,
1234321,
1257728,
1267232,
1281424,
1288225,
1292832,
1293732,
1295029,
1305728,
1311025,
1326125,
1334025,
1364224,
1367631,
1373125,
1375929,
1390041,
1404225,
1404928,
1417928,
1428025,
1430416,
1452025,
1458632,
1468944,
1485125,
1517824,
1525225,
1535121,
1539727,
1540125,
1547536,
1586032,
1600225,
1605632,
1607824,
1630729,
1633023,
1633932,
1634432,
1648928,
1651225,
1661521,
1674436,
1677025,
1700416,
1703025,
1711125,
1723025,
1729225,
1741932,
1760929,
1774728,
1797228,
1826132,
1830125,
1835528,
1852321,
1855044,
1879641,
1885129,
1896129,
1906624,
1918225,
1953125,
1974025,
1984032,
2010724,
2016032,
2024929,
2030625,
2056223,
2080125,
2111209,
2117025,
2119936,
2134521,
2145125.
Some larger examples :
97891236,
98112032,
98128836,
98224128,
98249949,
98426241,
98504648,
98585041,
98611128,
98729352,
98898048,
99102025,
99252847,
99580441,
99588352,
99715239,
99760144,
99840064,
99860049,
99880036.