82129 has 2 divisors, whose sum is σ = 82130. Its totient is φ = 82128.

The previous prime is 82073. The next prime is 82139. The reversal of 82129 is 92128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 32400 = 223^2 + 180^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82129 is a prime.

It is not a weakly prime, because it can be changed into another prime (82139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41064 + 41065.

It is an arithmetic number, because the mean of its divisors is an integer number (41065).

2⁸²¹²⁹ is an apocalyptic number.

It is an amenable number.

82129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82129 is an equidigital number, since it uses as much as digits as its factorization.

82129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 22.

The square root of 82129 is about 286.5815765188. The cubic root of 82129 is about 43.4675849585.

Subtracting 82129 from its reverse (92128), we obtain a palindrome (9999).

The spelling of 82129 in words is "eighty-two thousand, one hundred twenty-nine".