82412129 has 2 divisors, whose sum is σ = 82412130. Its totient is φ = 82412128.

The previous prime is 82412117. The next prime is 82412179. The reversal of 82412129 is 92121428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73273600 + 9138529 = 8560^2 + 3023^2 .

It is a cyclic number.

It is not a de Polignac number, because 82412129 - 2²⁰ = 81363553 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82412179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41206064 + 41206065.

It is an arithmetic number, because the mean of its divisors is an integer number (41206065).

Almost surely, 2^82412129 is an apocalyptic number.

It is an amenable number.

82412129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82412129 is an equidigital number, since it uses as much as digits as its factorization.

82412129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 29.

The square root of 82412129 is about 9078.1126342429. The cubic root of 82412129 is about 435.1747727710.

The spelling of 82412129 in words is "eighty-two million, four hundred twelve thousand, one hundred twenty-nine".