Number of the day: 6971

Properties of the number 6971:

6971 is a cyclic number.
6971 is the 896^th prime.
6971 has 7 antidivisors and 6970 totatives.
6971 has a prime digit sum 23 in base 10.
6971 has a triangular digit product 378 in base 10.
6971 has sum of divisors equal to 6972 which is an oblong number.
6971 = 3486² - 3485² is the difference of 2 nonnegative squares in 1 way.
6971 is the difference of 2 positive pentagonal numbers in 1 way.
6971 = 1² + 9² + 83² is the sum of 3 positive squares.
6971² is the sum of 3 positive squares.
6971 is a proper divisor of 1279³⁴ - 1.
6971 is an emirp in (at least) the following bases: 4, 5, 7, 9, 13, 15, 19, 23, 29, 30, 31, 39, 41, 43, 53, 55, 57, 60, 61, 64, 69, 70, 73, 74, 75, 77, 79, 81, 83, 85, 89, 90, 91, 92, 97, and 99.
6971 is palindromic in (at least) the following bases: 82, -10, -35, -52, -69, and -85.
6971 in base 13 = 3233 and consists of only the digits '2' and '3'.
6971 in base 29 = 88b and consists of only the digits '8' and 'b'.
6971 in base 31 = 77r and consists of only the digits '7' and 'r'.
6971 in base 34 = 611 and consists of only the digits '1' and '6'.

The number 6971 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002148: Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.
A002327: Primes of the form k^2 - k - 1.
A057186: Numbers n such that (20^n+1)/21 is a prime.
A059236: Primes p such that x^41 = 2 has no solution mod p.
A082108: a(n) = 4n^2 + 6n + 1.
A089299: Number of square plane partitions of n.
A127341: Primes that can be written as the sum of 13 consecutive primes.
A136079: Father primes of order 10.
A141908: Primes congruent to 2 mod 23.
A153377: Larger of two consecutive prime numbers such that p1*p2*d + d = average of twin prime pairs, d (delta) = p2 - p1.