Number of the day: 84967

Properties of the number 84967:

84967 is a cyclic number.
84967 is the 8274^th prime.
84967 has 7 antidivisors and 84966 totatives.
84967 has a semiprime digit sum 34 in base 10.
84967 has a Fibonacci digit sum 34 in base 10.
84967 = 42484² - 42483² is the difference of 2 nonnegative squares in 1 way.
84967 is the sum of 2 positive triangular numbers.
84967 is the difference of 2 positive pentagonal numbers in 1 way.
84967 is not the sum of 3 positive squares.
84967² is the sum of 3 positive squares.
84967 is a proper divisor of 773⁴² - 1.
84967 is an emirp in (at least) the following bases: 4, 5, 15, 27, 29, 33, 36, 39, 40, 42, 50, 67, 70, 80, 87, 95, and 99.
84967 is palindromic in (at least) the following bases: 17, 47, 74, and -17.
84967 in base 47 = cLc and consists of only the digits 'L' and 'c'.
84967 in base 59 = OO7 and consists of only the digits '7' and 'O'.

The number 84967 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A023316: Numbers n such that n remains prime through 4 iterations of function f(x) = 5x + 8.
A082113: n^4+5n^2+1.
A090687: Primes of the form 6*k^2 + 1.
A283791: List of prime numbers p such that all prime factors of p+1 and p-1 are smaller than the cube root of p.
A322405: Number of compositions of n into parts 1, 8, 9.