82757 has 2 divisors, whose sum is σ = 82758. Its totient is φ = 82756.

The previous prime is 82729. The next prime is 82759. The reversal of 82757 is 75728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 961 = 286^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 82757 - 2¹⁴ = 66373 is a prime.

Together with 82759, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41378 + 41379.

It is an arithmetic number, because the mean of its divisors is an integer number (41379).

2⁸²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

82757 is a deficient number, since it is larger than the sum of its proper divisors (1).

82757 is an equidigital number, since it uses as much as digits as its factorization.

82757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3920, while the sum is 29.

The square root of 82757 is about 287.6751640305. The cubic root of 82757 is about 43.5780954977.

Subtracting from 82757 its sum of digits (29), we obtain a palindrome (82728).

The spelling of 82757 in words is "eighty-two thousand, seven hundred fifty-seven".