Number of the day: 36779

Properties of the number 36779:

36779 is a cyclic number.
36779 and 36781 form a twin prime pair.
36779 has 13 antidivisors and 36778 totatives.
Reversing the decimal digits of 36779 results in a semiprime.
36779 = 18390² - 18389² is the difference of 2 nonnegative squares in 1 way.
36779 is the difference of 2 positive pentagonal numbers in 1 way.
36779 = 3² + 17² + 191² is the sum of 3 positive squares.
36779² is the sum of 3 positive squares.
36779 is a proper divisor of 1879³⁷ - 1.
36779 = '3' + '6779' is the concatenation of 2 prime numbers.
36779 is an emirp in (at least) the following bases: 7, 9, 11, 13, 14, 19, 29, 31, 37, 43, 46, 49, 51, 57, 59, 69, 73, 79, 84, 91, and 98.
36779 is palindromic in (at least) base 81.
36779 in base 46 = HHP and consists of only the digits 'H' and 'P'.
36779 in base 49 = FFT and consists of only the digits 'F' and 'T'.

The number 36779 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001606: Indices of prime Lucas numbers.
A078848: Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2,6,4]; short d-string notation of pattern = [264].
A078948: Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,4,2).
A126238: Primes of the form p = prime(n) = (prime(n+3)+prime(n-1))/2.
A130736: Primes n such that n+2, n*(n+2)+12 and n*(n+2)+14 are also prime.
A137476: Prime numbers p such that p^3 - (p+1)^2 and p^3 + (p+1)^2 are both primes.
A216576: Numbers n such that n-th Lucas number is prime, but cannot be written in the form a^2 + 10*b^2.
A226719: a(n) = the first member of a twin prime pair whose sum equals the sums of n consecutive pairs of twin primes.
A250025: Lesser of twin prime pairs of the form (40n - 21, 40n - 19).
A276848: For a lesser p of twin primes, let B_(p+2) and B_p be sequences defined as A159559, but with initial terms p+2 and p respectively. The sequence lists p for which all differences B_(p+2)(n)-B_p(n)<=6.