85351729 has 2 divisors, whose sum is σ = 85351730. Its totient is φ = 85351728.

The previous prime is 85351723. The next prime is 85351751. The reversal of 85351729 is 92715358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73136704 + 12215025 = 8552^2 + 3495^2 .

It is a cyclic number.

It is not a de Polignac number, because 85351729 - 2⁷ = 85351601 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85351691 and 85351700.

It is not a weakly prime, because it can be changed into another prime (85351723) 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, 42675864 + 42675865.

It is an arithmetic number, because the mean of its divisors is an integer number (42675865).

Almost surely, 2^85351729 is an apocalyptic number.

It is an amenable number.

85351729 is a deficient number, since it is larger than the sum of its proper divisors (1).

85351729 is an equidigital number, since it uses as much as digits as its factorization.

85351729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 40.

The square root of 85351729 is about 9238.5999480441. The cubic root of 85351729 is about 440.2886002635.

The spelling of 85351729 in words is "eighty-five million, three hundred fifty-one thousand, seven hundred twenty-nine".