Number of the day: 5007

Properties of the number 5007:

5007 = 3 × 1669 is semiprime and squarefree.
5007 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 3336 totatives.
5007 has an oblong digit sum 12 in base 10.
Reversing the decimal digits of 5007 results in a sphenic number.
5007 = 2504² - 2503² = 836² - 833² is the difference of 2 nonnegative squares in 2 ways.
5007 is the sum of 2 positive triangular numbers.
5007 is the difference of 2 positive pentagonal numbers in 1 way.
5007 is not the sum of 3 positive squares.
5007² = 3420² + 3657² is the sum of 2 positive squares in 1 way.
5007² is the sum of 3 positive squares.
5007 is a divisor of 1889⁴ - 1.
5007 is an emirpimes in (at least) the following bases: 2, 4, 5, 6, 8, 9, 12, 14, 16, 26, 30, 31, 35, 51, 53, 55, 56, 59, 60, 67, 70, 73, 74, 75, 77, 78, 79, 82, 84, 89, 91, and 98.
5007 is palindromic in (at least) the following bases: 36, -55, and -65.
5007 in base 36 = 3v3 and consists of only the digits '3' and 'v'.

The number 5007 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A022864: a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3.
A056768: Number of partitions of the n-th prime into prime parts.
A083491: Multiples of 3 in which there is no common digit in successive terms.
A090905: Group the natural numbers such that the n-th group product is a multiple of the (n-1)th group product. (1), (2),(3,4), (5,6,7,8),(9,10,11,12,13,14),(15,16,17,18,19,20,21,22,23,24,25,26),... Sequence contains the first term of each group.
A093911: Group the natural numbers so that the n-th group has at least n members and every group product is a multiple of that of the previous group. a(n) is the first member of the n-th group.
A093916: a(2*k-1)=(2*k-1)^2+2-k, a(2*k)=6*k^2+2-k: First column of the triangle A093915.
A209170: Triangle of coefficients of polynomials u(n,x) jointly generated with A209171; see the Formula section.
A217030: Semiprimes p such that next semiprime after p is p + 10.
A219704: T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array
A236543: Number of partitions of n for which (number of occurrences of the least part) = (number of occurrences of greatest part).