Number of the day: 8794

Properties of the number 8794:

8794 = 2 × 4397 is semiprime and squarefree.
8794 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 4396 totatives.
8794 has a triangular digit sum 28 in base 10.
8794 has a triangular digit product 2016 in base 10.
Reversing the decimal digits of 8794 results in a sphenic number.
8794 is the sum of 2 positive triangular numbers.
8794 is the difference of 2 positive pentagonal numbers in 2 ways.
8794 = 35² + 87² is the sum of 2 positive squares in 1 way.
8794 = 12² + 55² + 75² is the sum of 3 positive squares.
8794² = 6090² + 6344² is the sum of 2 positive squares in 1 way.
8794² is the sum of 3 positive squares.
8794 is a proper divisor of 7¹⁵⁷ - 1.
8794 = '87' + '94' is the concatenation of 2 semiprime numbers.
8794 is an emirpimes in (at least) the following bases: 2, 3, 4, 14, 18, 19, 24, 26, 29, 30, 37, 45, 46, 60, 68, 69, 76, 77, 83, 85, 89, 93, 94, 98, and 100.
8794 is palindromic in (at least) the following bases: 56, and -59.
8794 in base 21 = jjg and consists of only the digits 'g' and 'j'.
8794 in base 55 = 2nn and consists of only the digits '2' and 'n'.
8794 in base 56 = 2j2 and consists of only the digits '2' and 'j'.

The number 8794 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A096403: Number of partitions of n in which number of least parts is equal to least part.
A126283: Largest number k for which the n-th prime is the median of the largest prime dividing the first k integers.
A129311: Numbers n such that 6*p(n)*p(n+1)*p(n+2)*p(n+3)*p(n+4)*p(n+5)-1 and 6*p(n)*p(n+1)*p(n+2)*p(n+3)*p(n+4)*p(n+5)+1 are twin primes with p(n)=n-th prime.
A206423: Fibonacci sequence beginning 12, 7.
A237871: Number of partitions of n such that (greatest part) + (least part) > number of parts.
A243718: Number of inequivalent (mod D_8) ways to place 3 nonattacking knights on an n X n board.
A270683: Partial sums of the number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 190", based on the 5-celled von Neumann neighborhood.
A301381: Number of tied close American football games: number of ways for the game to end at the score of n to n and never be separated by more than one score after each play.
A301604: Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.
A301608: T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.