86289 has 12 divisors (see below), whose sum is σ = 134064. Its totient is φ = 49224.

The previous prime is 86287. The next prime is 86291. The reversal of 86289 is 98268.

It is an interprime number because it is at equal distance from previous prime (86287) and next prime (86291).

It is not a de Polignac number, because 86289 - 2¹ = 86287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁸⁶²⁸⁹ is an apocalyptic number.

It is an amenable number.

86289 is a deficient number, since it is larger than the sum of its proper divisors (47775).

86289 is a wasteful number, since it uses less digits than its factorization.

86289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 597 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 86289 is about 293.7498936170. The cubic root of 86289 is about 44.1894380420.

The spelling of 86289 in words is "eighty-six thousand, two hundred eighty-nine".