27575 is a member of OEIS A173092: numbers k such that 3k-4, 3k-2, 3k+2, and 3k+4 are primes, here 82721, 82723, 82727 and 82729.
The sequence can be generated as follows (permalink):
INPUT
L=[]
number=27575
for n in [3..40000]:
if is_prime(3*n-4) and is_prime(3*n-2):
if is_prime(3*n+2) and is_prime(3*n+4):
L.append(n)
if n==number:
print(3*n-4, 3*n-2,3*n+2,3*n+4)
print(L)
OUTPUT
82721 82723 82727 82729
[3, 5, 35, 65, 275, 495, 625, 695, 1085, 1155, 1885, 3145, 4335, 5215, 5245, 5355, 6015, 6305, 6475, 7005, 7425, 8435, 10575, 11615, 14595, 17115, 18445, 20995, 22405, 23165, 24075, 25755, 26565, 27015, 27575, 29605, 32615, 33045, 33705, 36615, 38845, 39765]
27575 has the property that all its digits are prime and so it is a member of OEIS A046034.
There are 852 such numbers in the range up to 40000. Permalink. The remaining 27**** numbers are:
27577, 27722, 27723, 27725, 27727, 27732, 27733, 27735, 27737, 27752, 27753, 27755, 27757, 27772, 27773, 27775, 27777
27575 is a Duffinian number.
27575 is a de Polignac number because none of the positive numbers 27575 -2^k is a prime.
27575 is a nialpdrome in base 13 (c722).
27575 cannot be rendered as a digit equation: *NO_EQUATION*