82256129 has 2 divisors, whose sum is σ = 82256130. Its totient is φ = 82256128.

The previous prime is 82256123. The next prime is 82256131. The reversal of 82256129 is 92165228.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69689104 + 12567025 = 8348^2 + 3545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82256129 is a prime.

It is a Sophie Germain prime.

Together with 82256131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82256123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41128064 + 41128065.

It is an arithmetic number, because the mean of its divisors is an integer number (41128065).

Almost surely, 2^82256129 is an apocalyptic number.

It is an amenable number.

82256129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82256129 is an equidigital number, since it uses as much as digits as its factorization.

82256129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17280, while the sum is 35.

The square root of 82256129 is about 9069.5164700220. The cubic root of 82256129 is about 434.9000148939.

Subtracting 82256129 from its reverse (92165228), we obtain a palindrome (9909099).

The spelling of 82256129 in words is "eighty-two million, two hundred fifty-six thousand, one hundred twenty-nine".