Number of the day: 5727

Properties of the number 5727:

5727 is a cyclic number.
5727 = 3 × 23 × 83 is a sphenic number and squarefree.
5727 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 3608 totatives.
5727 has a semiprime digit sum 21 in base 10.
5727 has a Fibonacci digit sum 21 in base 10.
5727 has a triangular digit sum 21 in base 10.
5727 = 2864² - 2863² = 956² - 953² = 136² - 113² = 76² - 7² is the difference of 2 nonnegative squares in 4 ways.
5727 is the difference of 2 positive pentagonal numbers in 1 way.
5727 is not the sum of 3 positive squares.
5727² is the sum of 3 positive squares.
5727 is a proper divisor of 829² - 1.
5727 = '5' + '727' is the concatenation of 2 prime numbers.
5727 is palindromic in (at least) the following bases: 82, and -53.
5727 in base 12 = 3393 and consists of only the digits '3' and '9'.
5727 in base 53 = 223 and consists of only the digits '2' and '3'.

The number 5727 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000491: Number of bipartite partitions of n white objects and 5 black ones.
A007714: Number of 5-level rooted trees with n leaves.
A014160: Apply partial sum operator thrice to partition numbers.
A050341: Number of factorizations with 3 levels of parentheses indexed by prime signatures. A050340(A025487).
A086380: Numbers n such that p = n^2 + 2, p+2 and p+6 are consecutive primes.
A086381: Numbers n such that p=n^2+2 and p+2 are primes.
A098323: Recurrence sequence based on positions of digits in decimal places of 1/G, where G is Catalan's constant (also often called K).
A153692: Greatest number m such that the fractional part of (11/10^A153688(n) >= 1-(1/m).
A161804: G.f.: A(q) = exp( Sum_{n>=1} A002129(n) * 3*A038500(n) * q^n/n ).
A255528: G.f.: Product_{k>=1} 1/(1+x^k)^k.