85006035 has 24 divisors (see below), whose sum is σ = 156012480. Its totient is φ = 42669312.

The previous prime is 85006021. The next prime is 85006063. The reversal of 85006035 is 53060058.

85006035 is a `hidden beast` number, since 8 + 50 + 0 + 603 + 5 = 666.

It is not a de Polignac number, because 85006035 - 2⁶ = 85005971 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54795 + ... + 56324.

It is an arithmetic number, because the mean of its divisors is an integer number (6500520).

Almost surely, 2^85006035 is an apocalyptic number.

85006035 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85006035 is a deficient number, since it is larger than the sum of its proper divisors (71006445).

85006035 is a wasteful number, since it uses less digits than its factorization.

85006035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111147 (or 111144 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85006035 is about 9219.8717453119. The cubic root of 85006035 is about 439.6933727998.

It can be divided in two parts, 8500 and 6035, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 85006035 in words is "eighty-five million, six thousand, thirty-five".