86589 has 10 divisors (see below), whose sum is σ = 129470. Its totient is φ = 57672.

The previous prime is 86587. The next prime is 86599. The reversal of 86589 is 98568.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 13689 = 270^2 + 117^2 .

It is not a de Polignac number, because 86589 - 2¹ = 86587 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86587) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 454 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (12947).

2⁸⁶⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

86589 is a deficient number, since it is larger than the sum of its proper divisors (42881).

86589 is a wasteful number, since it uses less digits than its factorization.

86589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1072 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 86589 is about 294.2600890369. The cubic root of 86589 is about 44.2405897829.

The spelling of 86589 in words is "eighty-six thousand, five hundred eighty-nine".