82727 has 2 divisors, whose sum is σ = 82728. Its totient is φ = 82726.
The previous prime is 82723. The next prime is 82729. The reversal of 82727 is 72728.
It is a strong prime.
It is a cyclic number.
It is not a de Polignac number, because 82727 - 22 = 82723 is a prime.
Together with 82729, it forms a pair of twin primes.
It is a Chen prime.
It is a nialpdrome in base 14.
It is a zygodrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 82696 and 82705.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (82721) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41363 + 41364.
It is an arithmetic number, because the mean of its divisors is an integer number (41364).
282727 is an apocalyptic number.
82727 is a deficient number, since it is larger than the sum of its proper divisors (1).
82727 is an equidigital number, since it uses as much as digits as its factorization.
82727 is an evil number, because the sum of its binary digits is even.
The product of its digits is 1568, while the sum is 26.
The square root of 82727 is about 287.6230171596. The cubic root of 82727 is about 43.5728290716.
Subtracting from 82727 its reverse (72728), we obtain a palindrome (9999).
The spelling of 82727 in words is "eighty-two thousand, seven hundred twenty-seven".
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