82759 has 2 divisors, whose sum is σ = 82760. Its totient is φ = 82758.

The previous prime is 82757. The next prime is 82763. The reversal of 82759 is 95728.

Subtracting from 82759 its sum of digits (31), we obtain a palindrome (82728).

It can be divided in two parts, 82 and 759, that added together give a square (841 = 29^{2}).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82759 - 2^{1} = 82757 is a prime.

Together with 82757, it forms a pair of twin primes.

It is a plaindrome in base 14.

It is a self number, because there is not a number *n* which added to its sum of digits gives 82759.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41379 + 41380.

It is an arithmetic number, because the mean of its divisors is an integer number (41380).

2^{82759} is an apocalyptic number.

82759 is a deficient number, since it is larger than the sum of its proper divisors (1).

82759 is an equidigital number, since it uses as much as digits as its factorization.

82759 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 31.

The square root of 82759 is about 287.6786401525. The cubic root of 82759 is about 43.5784465475.

The spelling of 82759 in words is "eighty-two thousand, seven hundred fifty-nine".

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