First numbers that belong to both sets:
736,
1285,
4096,
4536,
10251,
10521,
10575,
11025,
12101,
12102,
12105,
12108,
12167,
12321,
12384,
12546,
12762,
12843,
12850,
12996,
13822,
13824,
13825,
13842,
14129,
14256,
14641,
14645,
15246,
15562,
15622,
15624,
15625,
15628,
15641,
15642,
15645,
15679,
15688,
15697,
16225,
16245,
16272,
16448,
16759,
17384,
18265,
18432,
19392,
19592,
19629,
19692,
19693,
19736,
20485,
21586,
21843,
24375,
24546,
24564,
24576,
26348,
26754,
27654,
27889,
28561,
29519,
29524,
29525,
29584,
32744,
32782,
32815,
32851,
34425,
34991,
35933,
36549,
37814,
38424,
38637,
39283,
39313,
39328,
39358,
39362,
39382,
39456,
39784,
41468,
41472,
42025,
43268,
45360,
45369,
46593,
46630,
46645,
46663,
46668,
46875,
47652,
48756,
48757,
52168,
52429,
52498,
53245,
54369,
54432,
54642,
54726,
54768,
59049,
59056,
59094,
59129,
59409,
63945,
64036,
64512,
65478,
65487,
67254,
70225,
73984,
74183,
82372,
82755,
83521,
87382,
102051,
102382,
102384,
102510,
102912,
103824,
104328,
104375,
105021,
105075,
105210,
105264,
105624,
105625,
105750,
106929,
108135,
108241,
109962,
110250,
111537,
112895,
112923,
114395,
114687,
115934,
115968,
116317,
116478,
116625,
117316,
117466,
117568,
117572,
117586,
117596,
117613,
117623,
117632,
117640,
117646,
117648,
117658,
117659,
117664,
117684,
117685,
117695,
117739,
118259,
118567,
120384,
120762,
120843,
121203,
123084,
123265,
123648,
123840,
123897,
123935,
124362,
124368,
124386,
124479,
124632,
124993,
125001,
125007,
125008,
125010,
125011,
125026,
125038,
125046,
125056,
125062,
125064,
125065,
125068,
125070,
125080,
125083,
125086,
125099,
125364,
125460,
126025,
126027,
127449,
127587,
127620,
128403,
128430,
128500,
129609,
130248,
130679,
131082,
131850,
132499,
132565,
132568,
132625,
132645,
132652,
132654,
132655,
132658,
132685,
132797,
133125,
133815,
134375,
134456,
134462,
134465,
134832,
135625,
135828,
136079,
136525,
137216,
137344,
137635,
137719,
137728,
137729,
137768,
137782,
137784,
137788,
137791,
137792,
137892,
137928,
137955,
137964,
138240,
138624,
138784,
140625,
141345,
142795,
142975,
143357,
143465,
145314,
145656.
Some larger examples :
966289,
968245,
970292,
972188,
972415,
974648,
974815,
976558,
976563,
976566,
978122,
978128,
978129,
978192,
978671,
980092,
983047,
985768,
992016,
999964.