Number of the day: 6892

Properties of the number 6892:

6892 = 2² × 1723 is the 6005^th composite number and is not squarefree.
6892 has 2 distinct prime factors, 6 divisors, 13 antidivisors and 3444 totatives.
6892 has a semiprime digit sum 25 in base 10.
Reversing the decimal digits of 6892 results in a semiprime.
6892 = 1724² - 1722² is the difference of 2 nonnegative squares in 1 way.
6892 is the difference of 2 positive pentagonal numbers in 1 way.
6892 = 18² + 22² + 78² is the sum of 3 positive squares.
6892² is the sum of 3 positive squares.
6892 is a proper divisor of 41³ - 1.
6892 is palindromic in (at least) the following bases: 41, 53, -42, and -65.
6892 in base 40 = 4CC and consists of only the digits '4' and 'C'.
6892 in base 41 = 444 and consists of only the digit '4'.
6892 in base 52 = 2SS and consists of only the digits '2' and 'S'.
6892 in base 53 = 2O2 and consists of only the digits '2' and 'O'.
6892 in base 58 = 22m and consists of only the digits '2' and 'm'.

The number 6892 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A020169: Pseudoprimes to base 41.
A079104: Number of permutations of length n containing the minimum number of monotone subsequences of length 4.
A079105: Number of permutations of length n, in which all monotone subsequences of length 4 are descending or all such subsequences are ascending, containing the minimum number of such subsequences subject to that constraint.
A103198: Number of compositions of n into a square number of parts.
A112087: 4*(n^2 - n + 1).
A130442: Even pseudoprimes to base 41.
A192531: Monotonic ordering of set S generated by these rules:if x and y are in S then 3xy-2x-2y is in S, and 2 is in S.
A212579: Number of (w,x,y,z) with all terms in {1,...,n} and min{|w-x|,|w-y|}=min{|x-y|,|x-z|}.
A263149: Expansion of Product_{k>=1} (1 + x^(2*k+1))^k.
A280611: Number of degree n products of distinct cyclotomic polynomials.