Number of the day: 4995

Properties of the number 4995:

4995 = 3³ × 5 × 37 is the 4326^th composite number and is not squarefree.
4995 has 3 distinct prime factors, 16 divisors, 19 antidivisors and 2592 totatives.
4995 has sum of divisors equal to 9120 which is an oblong number.
4995 = 2498² - 2497² = 834² - 831² = 502² - 497² = 282² - 273² = 174² - 159² = 106² - 79² = 86² - 49² = 78² - 33² is the difference of 2 nonnegative squares in 8 ways.
4995 is the sum of 2 positive triangular numbers.
4995 is the difference of 2 positive pentagonal numbers in 1 way.
4995 = 17² + 35² + 59² is the sum of 3 positive squares.
4995² = 2997² + 3996² = 2808² + 4131² = 1539² + 4752² = 1620² + 4725² is the sum of 2 positive squares in 4 ways.
4995² is the sum of 3 positive squares.
4995 is a proper divisor of 487⁴ - 1.
4995 = '499' + '5' is the concatenation of 2 prime numbers.
4995 = '4' + '995' is the concatenation of 2 semiprime numbers.
4995 is palindromic in (at least) the following bases: 39, -11, and -48.
4995 in base 38 = 3HH and consists of only the digits '3' and 'H'.
4995 in base 39 = 3B3 and consists of only the digits '3' and 'B'.

The number 4995 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000243: Number of trees with n nodes, 2 of which are labeled.
A000566: Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.
A033571: a(n) = (2*n + 1)*(5*n + 1).
A069534: Smallest multiple of 5 with digit sum n.
A223282: T(n,k)=Rolling icosahedron face footprints: number of nXk 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge
A225513: -9-Kndel numbers.
A226929: Values of n such that L(9) and N(9) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.
A254963: a(n) = n*(11*n + 3)/2.
A282613: Number of inequivalent 3 X 3 matrices with entries in {1,2,3,..,n} up to rotations.
A324756: Number of integer partitions of n containing no prime indices of the parts.