85205785 has 32 divisors (see below), whose sum is σ = 130256640. Its totient is φ = 52088832.

The previous prime is 85205767. The next prime is 85205789. The reversal of 85205785 is 58750258.

It is a 4-Lehmer number, since φ(85205785) divides (85205785-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 85205785 - 2²¹ = 83108633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85205789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7537 + ... + 15073.

It is an arithmetic number, because the mean of its divisors is an integer number (4070520).

Almost surely, 2^85205785 is an apocalyptic number.

85205785 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85205785 is the 7537-th pentagonal number.

It is an amenable number.

85205785 is a deficient number, since it is larger than the sum of its proper divisors (45050855).

85205785 is a wasteful number, since it uses less digits than its factorization.

85205785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585.

The product of its (nonzero) digits is 112000, while the sum is 40.

The square root of 85205785 is about 9230.6979692762. The cubic root of 85205785 is about 440.0375054118.

The spelling of 85205785 in words is "eighty-five million, two hundred five thousand, seven hundred eighty-five".