85587 has 8 divisors (see below), whose sum is σ = 116736. Its totient is φ = 55752.

The previous prime is 85577. The next prime is 85597. The reversal of 85587 is 78558.

It is an interprime number because it is at equal distance from previous prime (85577) and next prime (85597).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85587 - 2⁴ = 85571 is a prime.

85587 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (14592).

2⁸⁵⁵⁸⁷ is an apocalyptic number.

85587 is a deficient number, since it is larger than the sum of its proper divisors (31149).

85587 is a wasteful number, since it uses less digits than its factorization.

85587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its digits is 11200, while the sum is 33.

The square root of 85587 is about 292.5525593804. The cubic root of 85587 is about 44.0692779171.

The spelling of 85587 in words is "eighty-five thousand, five hundred eighty-seven".