85005591 has 32 divisors (see below), whose sum is σ = 126696960. Its totient is φ = 50265600.

The previous prime is 85005553. The next prime is 85005617. The reversal of 85005591 is 19550058.

It is not a de Polignac number, because 85005591 - 2¹⁰ = 85004567 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85005511) 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, 302371 + ... + 302651.

It is an arithmetic number, because the mean of its divisors is an integer number (3959280).

Almost surely, 2^85005591 is an apocalyptic number.

85005591 is a deficient number, since it is larger than the sum of its proper divisors (41691369).

85005591 is a wasteful number, since it uses less digits than its factorization.

85005591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487.

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 85005591 is about 9219.8476668544. The cubic root of 85005591 is about 439.6926072690.

The spelling of 85005591 in words is "eighty-five million, five thousand, five hundred ninety-one".