89585 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 63360.

The previous prime is 89567. The next prime is 89591. The reversal of 89585 is 58598.

It is not a de Polignac number, because 89585 - 2⁶ = 89521 is a prime.

It is an Ulam number.

It is a plaindrome in base 9.

It is an unprimeable number.

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, 2165 + ... + 2205.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸⁹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

89585 is a deficient number, since it is larger than the sum of its proper divisors (31375).

89585 is a wasteful number, since it uses less digits than its factorization.

89585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88.

The product of its digits is 14400, while the sum is 35.

The square root of 89585 is about 299.3075341517. The cubic root of 89585 is about 44.7450604704.

The spelling of 89585 in words is "eighty-nine thousand, five hundred eighty-five".