83642129 has 2 divisors, whose sum is σ = 83642130. Its totient is φ = 83642128.

The previous prime is 83642101. The next prime is 83642203. The reversal of 83642129 is 92124638.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58491904 + 25150225 = 7648^2 + 5015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83642129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83642029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41821064 + 41821065.

It is an arithmetic number, because the mean of its divisors is an integer number (41821065).

Almost surely, 2^83642129 is an apocalyptic number.

It is an amenable number.

83642129 is a deficient number, since it is larger than the sum of its proper divisors (1).

83642129 is an equidigital number, since it uses as much as digits as its factorization.

83642129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 35.

The square root of 83642129 is about 9145.6070875585. The cubic root of 83642129 is about 437.3290830602.

The spelling of 83642129 in words is "eighty-three million, six hundred forty-two thousand, one hundred twenty-nine".