Number of the day: 83658

Properties of the number 83658:

83658 = 2 × 3 × 73 × 191 is the 75492^th composite number and is squarefree.
83658 has 4 distinct prime factors, 16 divisors, 13 antidivisors and 27360 totatives.
83658 has a sphenic digit sum 30 in base 10.
83658 has an oblong digit sum 30 in base 10.
83658 is the sum of 2 positive triangular numbers.
83658 is the difference of 2 positive pentagonal numbers in 3 ways.
83658 = 4² + 11² + 289² is the sum of 3 positive squares.
83658² = 55008² + 63030² is the sum of 2 positive squares in 1 way.
83658² is the sum of 3 positive squares.
83658 is a proper divisor of 383¹⁸ - 1.
83658 is palindromic in (at least) base 68.

The number 83658 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A227161: Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having a sum of one or less, with rows and columns of the latter in lexicographically nondecreasing order.
A239983: Number of nX5 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4
A239986: T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4
A239990: Number of 6Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4
A298402: a(n) = 2*a(n-1) - a(n-3) + a(floor(n/2)), where a(0) = 1, a(1) = 1, a(2) = 1.