82733129 has 2 divisors, whose sum is σ = 82733130. Its totient is φ = 82733128.

The previous prime is 82733111. The next prime is 82733197. The reversal of 82733129 is 92133728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79210000 + 3523129 = 8900^2 + 1877^2 .

It is a cyclic number.

It is not a de Polignac number, because 82733129 - 2²⁴ = 65955913 is a prime.

It is not a weakly prime, because it can be changed into another prime (82733029) 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, 41366564 + 41366565.

It is an arithmetic number, because the mean of its divisors is an integer number (41366565).

Almost surely, 2^82733129 is an apocalyptic number.

It is an amenable number.

82733129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82733129 is an equidigital number, since it uses as much as digits as its factorization.

82733129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 82733129 is about 9095.7753380347. The cubic root of 82733129 is about 435.7390510590.

The spelling of 82733129 in words is "eighty-two million, seven hundred thirty-three thousand, one hundred twenty-nine".