85088905 has 16 divisors (see below), whose sum is σ = 111571200. Its totient is φ = 61781760.

The previous prime is 85088881. The next prime is 85088909. The reversal of 85088905 is 50988058.

It is not a de Polignac number, because 85088905 - 2¹⁵ = 85056137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85088909) 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 15 ways as a sum of consecutive naturals, for example, 56401 + ... + 57889.

It is an arithmetic number, because the mean of its divisors is an integer number (6973200).

Almost surely, 2^85088905 is an apocalyptic number.

It is an amenable number.

85088905 is a deficient number, since it is larger than the sum of its proper divisors (26482295).

85088905 is a wasteful number, since it uses less digits than its factorization.

85088905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544.

The product of its (nonzero) digits is 115200, while the sum is 43.

The square root of 85088905 is about 9224.3647477753. The cubic root of 85088905 is about 439.8362079746.

The spelling of 85088905 in words is "eighty-five million, eighty-eight thousand, nine hundred five".