Number of the day: 84889

Properties of the number 84889:

84889 is a cyclic number.
84889 = 7 × 67 × 181 is a sphenic number and squarefree.
84889 has 3 distinct prime factors, 8 divisors, 13 antidivisors and 71280 totatives.
84889 has an emirp digit sum 37 in base 10.
84889 = 7³ + 25³ + 41³ = 28³ + 30³ + 33³ is the sum of 3 positive cubes in 2 ways.
84889 = 42445² - 42444² = 6067² - 6060² = 667² - 600² = 325² - 144² is the difference of 2 nonnegative squares in 4 ways.
84889 is the sum of 2 positive triangular numbers.
84889 is the difference of 2 positive pentagonal numbers in 4 ways.
84889 = 8² + 93² + 276² is the sum of 3 positive squares.
84889² = 8911² + 84420² is the sum of 2 positive squares in 1 way.
84889² is the sum of 3 positive squares.
84889 is a proper divisor of 967⁹ - 1.
84889 in base 45 = ffJ and consists of only the digits 'J' and 'f'.
84889 in base 51 = WWP and consists of only the digits 'P' and 'W'.

The number 84889 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A023596: Convolution of A023532 and Fibonacci numbers.
A135214: a(1)=1, a(n) = a(n-1) + n^5 if n odd, a(n) = a(n-1) + n^4 if n is even.
A232704: Numbers n such that sigma(n)+n divides sigma(n^2).
A331763: Number of vertices formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares).