82163129 has 2 divisors, whose sum is σ = 82163130. Its totient is φ = 82163128.

The previous prime is 82163083. The next prime is 82163131. The reversal of 82163129 is 92136128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76650025 + 5513104 = 8755^2 + 2348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82163129 is a prime.

It is a Sophie Germain prime.

Together with 82163131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82163095 and 82163104.

It is not a weakly prime, because it can be changed into another prime (82163729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41081564 + 41081565.

It is an arithmetic number, because the mean of its divisors is an integer number (41081565).

Almost surely, 2^82163129 is an apocalyptic number.

It is an amenable number.

82163129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82163129 is an equidigital number, since it uses as much as digits as its factorization.

82163129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 32.

The square root of 82163129 is about 9064.3879550690. The cubic root of 82163129 is about 434.7360516152.

The spelling of 82163129 in words is "eighty-two million, one hundred sixty-three thousand, one hundred twenty-nine".