85505035 has 32 divisors (see below), whose sum is σ = 134668800. Its totient is φ = 50492160.

The previous prime is 85505033. The next prime is 85505047. The reversal of 85505035 is 53050558.

It is not a de Polignac number, because 85505035 - 2¹ = 85505033 is a prime.

It is a super-2 number, since 2×85505035² = 14622222020702450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85504988 and 85505006.

It is not an unprimeable number, because it can be changed into a prime (85505033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1471 + ... + 13159.

It is an arithmetic number, because the mean of its divisors is an integer number (4208400).

Almost surely, 2^85505035 is an apocalyptic number.

85505035 is a deficient number, since it is larger than the sum of its proper divisors (49163765).

85505035 is a wasteful number, since it uses less digits than its factorization.

85505035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11731.

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 85505035 is about 9246.8932620638. The cubic root of 85505035 is about 440.5520532797.

The spelling of 85505035 in words is "eighty-five million, five hundred five thousand, thirty-five".