82729 has 2 divisors, whose sum is σ = 82730. Its totient is φ = 82728.

The previous prime is 82727. The next prime is 82757. The reversal of 82729 is 92728.

It is an a-pointer prime, because the next prime (82757) can be obtained adding 82729 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 15129 = 260^2 + 123^2 .

It is a cyclic number.

It is not a de Polignac number, because 82729 - 2¹ = 82727 is a prime.

Together with 82727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 82697 and 82706.

It is not a weakly prime, because it can be changed into another prime (82721) 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, 41364 + 41365.

It is an arithmetic number, because the mean of its divisors is an integer number (41365).

2⁸²⁷²⁹ is an apocalyptic number.

It is an amenable number.

82729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82729 is an equidigital number, since it uses as much as digits as its factorization.

82729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 28.

The square root of 82729 is about 287.6264939118. The cubic root of 82729 is about 43.5731802063.

Subtracting 82729 from its reverse (92728), we obtain a palindrome (9999).

It can be divided in two parts, 8272 and 9, that added together give a square (8281 = 91²).

The spelling of 82729 in words is "eighty-two thousand, seven hundred twenty-nine".