86505 has 16 divisors (see below), whose sum is σ = 142080. Its totient is φ = 44928.

The previous prime is 86501. The next prime is 86509. The reversal of 86505 is 50568.

It is an interprime number because it is at equal distance from previous prime (86501) and next prime (86509).

It is not a de Polignac number, because 86505 - 2² = 86501 is a prime.

86505 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (86501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (8880).

2⁸⁶⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

86505 is a deficient number, since it is larger than the sum of its proper divisors (55575).

86505 is a wasteful number, since it uses less digits than its factorization.

86505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 86505 is about 294.1173235292. The cubic root of 86505 is about 44.2262792204.

Subtracting from 86505 its reverse (50568), we obtain a cube (35937 = 33³).

The spelling of 86505 in words is "eighty-six thousand, five hundred five".