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amenable n.  and  truncatable prime

First numbers that belong to both sets:

5, 13, 17, 29, 37, 53, 73, 97, 113, 137, 173, 197, 233, 293, 313, 317, 337, 353, 373, 397, 593, 613, 617, 653, 673, 733, 773, 797, 853, 937, 953, 997, 1373, 1613, 1997, 2113, 2137, 2333, 2393, 2617, 2797, 2953, 3137, 3313, 3373, 3613, 3617, 3673, 3733, 3793, 3797, 3853, 4337, 4373, 4397, 4673, 4937, 5113, 5197, 5653, 5953, 6113, 6173, 6197, 6317, 6337, 6353, 6373, 6397, 6653, 6673, 6997, 7193, 7333, 7393, 7673, 7853, 7937, 8317, 8353, 9137, 9173, 9337, 9397, 9613, 12113, 12953, 13313, 13613, 16673, 18353, 21613, 21997, 23333, 23993, 24337, 24373, 26113, 26317, 27673, 29137, 29173, 31193, 32797, 33613, 33617, 33797, 34337, 34673, 36353, 36373, 36653, 36997, 37337, 37397, 37853, 38317, 39397, 42797, 42953, 43313, 43613, 43853, 45197, 45953, 46337, 46997, 48353, 49613, 51613, 53617, 54673, 56113, 56197, 57853, 59393, 61613, 62137, 62617, 63313, 63617, 63853, 64373, 64937, 66173, 66337, 66373, 66653, 67853, 69337, 71933, 72617, 72797, 72953, 73613, 73673, 75653, 76673, 78317, 79337, 79397, 79613, 81373, 83137, 83617, 84673, 86113, 86197, 86353, 87853, 89137, 91373, 91997, 94397, 96337, 96353, 96997, 97673, 98317, 99137, 99173, 99397, 121997, 124337, 126317, 136373, 139397, 163853, 186113, 196337, 213613, 233617, 233993, 234673, 236653, 239933, 242797, 243613, 273613, 276673, 279337, 279397, 279613, 291373, 291997, 294397, 296353, 299137, 313613, 326113, 327673, 336353, 336373, 336653, 336997, 337853, 343313, 345953, 346337, 348353, 356113, 356197, 362137, 363313, 364373, 364937, 366173, 367853, 372797, 373393, 373613, 378317, 379397, 381373, 384673, 387853, 391373, 396353, 396997, 397673, 399137, 399173, 421997, 429137, 432797, 453617, 454673, 463313, 466373, 481373, 496997, 499397, 513313, 516673, 536353, 537853, 542797, 543313, 543853, 564373, 564937, 566173, 566653, 573673, 578317, 579613, 593933, 593993, 594397, 597673, 612113, 616673, 621997, 626113, 626317, 627673, 629137, 633613, 633797, 636353.

Some larger examples :