88585 has 8 divisors (see below), whose sum is σ = 121536. Its totient is φ = 60720.

The previous prime is 88547. The next prime is 88589. The reversal of 88585 is 58588.

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

It is not a de Polignac number, because 88585 - 2¹⁵ = 55817 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 88585.

It is not an unprimeable number, because it can be changed into a prime (88589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1231 + ... + 1300.

It is an arithmetic number, because the mean of its divisors is an integer number (15192).

2⁸⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

88585 is a deficient number, since it is larger than the sum of its proper divisors (32951).

88585 is a wasteful number, since it uses less digits than its factorization.

88585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543.

The product of its digits is 12800, while the sum is 34.

The square root of 88585 is about 297.6323235134. The cubic root of 88585 is about 44.5779469624.

The spelling of 88585 in words is "eighty-eight thousand, five hundred eighty-five".