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odious n.  and  weird n.

First numbers that belong to both sets:

70, 5830, 7192, 9272, 10792, 10990, 12110, 12530, 12670, 13370, 13510, 15890, 16310, 16870, 17272, 17570, 18410, 18830, 19810, 21490, 22190, 23590, 24290, 24430, 24710, 25690, 26110, 27230, 28070, 28630, 29330, 29470, 30310, 31010, 31430, 31990, 32270, 32690, 34370, 36470, 38290, 38990, 39410, 39830, 40390, 42070, 44170, 44870, 45356, 46130, 47390, 49630, 50330, 52570, 53830, 55090, 55790, 56770, 57470, 58030, 58730, 59990, 60130, 61670, 61810, 63770, 65030, 65590, 66290, 67970, 68390, 68810, 69790, 70630, 71330, 71470, 72170, 72310, 72730, 73570, 74270, 74410, 74830, 76370, 76790, 77210, 77630, 78190, 78610, 79030, 80710, 81410, 81970, 82670, 83312, 84070, 85610, 86170, 86590, 89530, 90370, 91070, 91210, 92470, 96670, 99610, 99890, 100730, 101290, 101570, 101710, 103810, 104090, 104230, 104510, 104930, 105770, 106610, 107170, 109970, 110810, 112490, 112630, 112910, 113072, 114590, 116830, 118930, 120610, 121870, 122290, 124390, 126070, 126770, 127610, 129290, 130270, 130970, 131390, 132230, 133070, 133490, 133910, 135170, 136430, 136570, 138110, 138530, 139090, 139930, 142030, 143710, 144410, 144830, 145670, 146090, 146930, 147770, 147910, 149030, 149590, 149870, 150710, 152530, 154490, 155470, 159110, 160090, 163310, 163730, 164990, 166810, 167510, 168770, 169190, 170870, 171290, 172690, 173390, 175210, 176470, 177170, 178010, 178570, 178990, 180530, 181370, 181510, 182630, 184310, 185990, 186130, 188230, 188510, 189770, 189910, 191170, 191870, 192430, 192710, 195370, 196070, 197330, 198590, 199010, 199990, 200270, 201530, 202090, 202790, 203210, 203630, 204190, 204890, 206710, 207830, 209930, 210070, 212870, 213430, 214270, 215810, 216230, 217630, 221690, 222670, 223090, 224210, 225470, 227570, 227710, 227990, 230930, 232330, 233030, 234290, 235130, 235270, 235970, 238910, 240310, 241430, 241990, 242270, 242410, 242690, 246890, 247030, 247310, 247730, 248990, 249970, 250670, 254012, 257110, 257390, 258370, 259070, 263690, 263830, 265510, 265790, 266210, 269710, 270410, 271390, 272230, 273490, 273770, 274190, 274610, 279230, 280210, 280490, 281330, 281470, 281890, 283570, 283990, 286370.

Some larger examples :