85385929 has 2 divisors, whose sum is σ = 85385930. Its totient is φ = 85385928.

The previous prime is 85385891. The next prime is 85385953. The reversal of 85385929 is 92958358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58064400 + 27321529 = 7620^2 + 5227^2 .

It is a cyclic number.

It is not a de Polignac number, because 85385929 - 2⁷ = 85385801 is a prime.

It is not a weakly prime, because it can be changed into another prime (85385029) 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, 42692964 + 42692965.

It is an arithmetic number, because the mean of its divisors is an integer number (42692965).

Almost surely, 2^85385929 is an apocalyptic number.

It is an amenable number.

85385929 is a deficient number, since it is larger than the sum of its proper divisors (1).

85385929 is an equidigital number, since it uses as much as digits as its factorization.

85385929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 777600, while the sum is 49.

The square root of 85385929 is about 9240.4506924717. The cubic root of 85385929 is about 440.3473995385.

The spelling of 85385929 in words is "eighty-five million, three hundred eighty-five thousand, nine hundred twenty-nine".