82435729 has 2 divisors, whose sum is σ = 82435730. Its totient is φ = 82435728.

The previous prime is 82435721. The next prime is 82435739. The reversal of 82435729 is 92753428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81938704 + 497025 = 9052^2 + 705^2 .

It is a cyclic number.

It is not a de Polignac number, because 82435729 - 2³ = 82435721 is a prime.

It is a super-2 number, since 2×82435729² = 13591298831522882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82435691 and 82435700.

It is not a weakly prime, because it can be changed into another prime (82435721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41217864 + 41217865.

It is an arithmetic number, because the mean of its divisors is an integer number (41217865).

Almost surely, 2^82435729 is an apocalyptic number.

It is an amenable number.

82435729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82435729 is an equidigital number, since it uses as much as digits as its factorization.

82435729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 40.

The square root of 82435729 is about 9079.4123708531. The cubic root of 82435729 is about 435.2163085036.

The spelling of 82435729 in words is "eighty-two million, four hundred thirty-five thousand, seven hundred twenty-nine".