Number of the day: 5001

Properties of the number 5001:

5001 is a cyclic number.
5001 = 3 × 1667 is semiprime and squarefree.
5001 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 3332 totatives.
5001 has a semiprime digit sum 6 in base 10.
5001 has a triangular digit sum 6 in base 10.
5001 has an oblong digit sum 6 in base 10.
Reversing the decimal digits of 5001 results in a sphenic number.
5001 = (14 × 15)/2 + … + (31 × 32)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
5001 = 2501² - 2500² = 835² - 832² is the difference of 2 nonnegative squares in 2 ways.
5001 is the sum of 2 positive triangular numbers.
5001 is the difference of 2 positive pentagonal numbers in 1 way.
5001 = 1² + 10² + 70² is the sum of 3 positive squares.
5001² is the sum of 3 positive squares.
5001 is a proper divisor of 877¹⁷ - 1.
5001 is an emirpimes in (at least) the following bases: 7, 11, 14, 19, 25, 29, 30, 38, 40, 43, 45, 49, 51, 54, 55, 57, 60, 61, 66, 67, 68, 71, 75, 76, 78, 79, 83, 84, 87, 89, 90, 91, 93, 94, and 95.
5001 is palindromic in (at least) the following bases: 6, 8, 18, 27, -23, -24, -42, -49, and -100.
5001 in base 8 = 11611 and consists of only the digits '1' and '6'.
5001 in base 9 = 6766 and consists of only the digits '6' and '7'.
5001 in base 18 = f7f and consists of only the digits '7' and 'f'.
5001 in base 22 = a77 and consists of only the digits '7' and 'a'.
5001 in base 23 = 9aa and consists of only the digits '9' and 'a'.
5001 in base 27 = 6n6 and consists of only the digits '6' and 'n'.

The number 5001 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A033819: Trimorphic numbers: n^3 ends with n. Also m-morphic numbers for all m>5 such that m-1 is not divisible by 10 and m==3 (mod 4).
A069860: Numbers n that divide the concatenation of n+1 and n+2.
A081585: Third row of Pascal-(1,3,1) array A081578.
A105476: Number of compositions of n when each even part can be of two kinds.
A136811: Numbers n such that n and the square of n use only the digits 0, 1, 2, 3 and 5.
A144390: a(n) = 3*n^2 - n - 1.
A216899: Smallest palindromic number of 5 digits in two bases differing by n.
A255830: Numbers D such that D^2 = A^4 + B^5 + C^6 for some positive integers A, B, C.
A256631: Numbers n such that the decimal expansions of both n and n^2 have 0 as smallest digit and 5 as largest digit.
A259384: Palindromic numbers in bases 6 and 8 written in base 10.