85385429 has 2 divisors, whose sum is σ = 85385430. Its totient is φ = 85385428.

The previous prime is 85385389. The next prime is 85385473. The reversal of 85385429 is 92458358.

It is an a-pointer prime, because the next prime (85385473) can be obtained adding 85385429 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77404804 + 7980625 = 8798^2 + 2825^2 .

It is a cyclic number.

It is not a de Polignac number, because 85385429 - 2²⁴ = 68608213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85385429.

It is a congruent number.

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, 42692714 + 42692715.

It is an arithmetic number, because the mean of its divisors is an integer number (42692715).

Almost surely, 2^85385429 is an apocalyptic number.

It is an amenable number.

85385429 is a deficient number, since it is larger than the sum of its proper divisors (1).

85385429 is an equidigital number, since it uses as much as digits as its factorization.

85385429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 345600, while the sum is 44.

The square root of 85385429 is about 9240.4236374746. The cubic root of 85385429 is about 440.3465400131.

The spelling of 85385429 in words is "eighty-five million, three hundred eighty-five thousand, four hundred twenty-nine".