85506785 has 16 divisors (see below), whose sum is σ = 126287616. Its totient is φ = 54122688.

The previous prime is 85506737. The next prime is 85506793. The reversal of 85506785 is 58760558.

85506785 = T₂₆₄ + T₂₆₅ + ... + T₈₀₉.

It is a cyclic number.

It is not a de Polignac number, because 85506785 - 2¹⁴ = 85490401 is a prime.

It is a super-2 number, since 2×85506785² = 14622820562072450, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 93509 + ... + 94418.

It is an arithmetic number, because the mean of its divisors is an integer number (7892976).

Almost surely, 2^85506785 is an apocalyptic number.

It is an amenable number.

85506785 is a deficient number, since it is larger than the sum of its proper divisors (40780831).

85506785 is a wasteful number, since it uses less digits than its factorization.

85506785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187952.

The product of its (nonzero) digits is 336000, while the sum is 44.

The square root of 85506785 is about 9246.9878879557. The cubic root of 85506785 is about 440.5550587979. Note that the first 3 decimals are identical.

The spelling of 85506785 in words is "eighty-five million, five hundred six thousand, seven hundred eighty-five".