Number of the day: 83792

Properties of the number 83792:

83792 = 2⁴ × 5237 is the 75616^th composite number and is not squarefree.
83792 has 2 distinct prime factors, 10 divisors, 17 antidivisors and 41888 totatives.
83792 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 83792 results in a semiprime.
83792 = 20949² - 20947² = 10476² - 10472² = 5241² - 5233² is the difference of 2 nonnegative squares in 3 ways.
83792 is the difference of 2 positive pentagonal numbers in 1 way.
83792 = 56² + 284² is the sum of 2 positive squares in 1 way.
83792 = 8² + 28² + 288² is the sum of 3 positive squares.
83792² = 31808² + 77520² is the sum of 2 positive squares in 1 way.
83792² is the sum of 3 positive squares.
83792 is a proper divisor of 1873²² - 1.
83792 is palindromic in (at least) the following bases: 55, 87, and -47.
83792 in base 14 = 22772 and consists of only the digits '2' and '7'.
83792 in base 30 = 3332 and consists of only the digits '2' and '3'.
83792 in base 55 = RcR and consists of only the digits 'R' and 'c'.

The number 83792 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A019592: From George Gilbert's marks problem: jumping 3 marks at a time (initial positions).
A131188: Indices of products of twin primes in the semiprimes.
A205336: Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than 3.
A205341: T(n,k)=Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than k
A273322: Wiener index of graphs of fcc unit cells in a line = Sum of distances in face-centered cubic grid unit cells connected in a row.