85335705 has 108 divisors (see below), whose sum is σ = 187132140. Its totient is φ = 35852544.

The previous prime is 85335697. The next prime is 85335713. The reversal of 85335705 is 50753358.

85335705 is a `hidden beast` number, since 85 + 3 + 3 + 570 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (85335697) and next prime (85335713).

It can be written as a sum of positive squares in 6 ways, for example, as 3415104 + 81920601 = 1848^2 + 9051^2 .

It is not a de Polignac number, because 85335705 - 2³ = 85335697 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85335705.

It is a congruent number.

It is an unprimeable number.

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 in 107 ways as a sum of consecutive naturals, for example, 372531 + ... + 372759.

It is an arithmetic number, because the mean of its divisors is an integer number (1732705).

Almost surely, 2^85335705 is an apocalyptic number.

It is an amenable number.

85335705 is an abundant number, since it is smaller than the sum of its proper divisors (101796435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85335705 is a wasteful number, since it uses less digits than its factorization.

85335705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 85335705 is about 9237.7326763660. The cubic root of 85335705 is about 440.2610451642.

It can be divided in two parts, 85 and 335705, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 85335705 in words is "eighty-five million, three hundred thirty-five thousand, seven hundred five".