85009587 has 16 divisors (see below), whose sum is σ = 127373568. Its totient is φ = 50038560.

The previous prime is 85009577. The next prime is 85009597. The reversal of 85009587 is 78590058.

It is an interprime number because it is at equal distance from previous prime (85009577) and next prime (85009597).

It is not a de Polignac number, because 85009587 - 2¹⁵ = 84976819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85009517) 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, 46489 + ... + 48282.

It is an arithmetic number, because the mean of its divisors is an integer number (7960848).

Almost surely, 2^85009587 is an apocalyptic number.

85009587 is a deficient number, since it is larger than the sum of its proper divisors (42363981).

85009587 is a wasteful number, since it uses less digits than its factorization.

85009587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94810.

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 85009587 is about 9220.0643707080. The cubic root of 85009587 is about 439.6994969497.

The spelling of 85009587 in words is "eighty-five million, nine thousand, five hundred eighty-seven".