Number of the day: 5471

Properties of the number 5471:

5471 is a cyclic number.
5471 is the 722^th prime.
5471 has 9 antidivisors and 5470 totatives.
5471 has an emirp digit sum 17 in base 10.
Reversing the decimal digits of 5471 results in a semiprime.
5471 = 2736² - 2735² is the difference of 2 nonnegative squares in 1 way.
5471 is the difference of 2 positive pentagonal numbers in 1 way.
5471 is not the sum of 3 positive squares.
5471² is the sum of 3 positive squares.
5471 is a proper divisor of 2⁵⁴⁷ - 1.
5471 is an emirp in (at least) the following bases: 3, 5, 7, 9, 11, 13, 14, 16, 19, 20, 32, 33, 41, 49, 51, 55, 56, 57, 59, 61, 62, 64, 65, 66, 68, 69, 74, 77, 81, 83, 85, 86, 87, 91, 93, and 98.
5471 is palindromic in (at least) base -18.
5471 in base 3 = 21111122 and consists of only the digits '1' and '2'.
5471 in base 4 = 1111133 and consists of only the digits '1' and '3'.
5471 in base 20 = ddb and consists of only the digits 'b' and 'd'.

The number 5471 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000945: Euclid-Mullin sequence: a(1) = 2, a(n+1) is smallest prime factor of 1 + Product_{k=1..n} a(k).
A049438: p, p+6 and p+8 are all primes (A046138) but p+2 is not.
A059802: Numbers n such that 5^n - 4^n is prime.
A078853: 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=[6,2,4]; short d-string notation of pattern = [624].
A124179: Prime(R(p)) where Prime(i) is the i-th prime and R(p) is the value of the reverse of the digits of prime p.
A136073: Father primes of order 4.
A167054: Values of A167053(k)-A167053(k-1)-1 not equal to 1.
A213978: Number of solid standard Young tableaux of shape [[n,n,n],[n]].
A214722: Number A(n,k) of solid standard Young tableaux of shape [[{n}^k],[n]]; square array A(n,k), n>=0, k>=1, read by antidiagonals.
A250755: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction