86181 has 8 divisors (see below), whose sum is σ = 120000. Its totient is φ = 54912.

The previous prime is 86179. The next prime is 86183. The reversal of 86181 is 18168.

It is an interprime number because it is at equal distance from previous prime (86179) and next prime (86183).

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

It is not a de Polignac number, because 86181 - 2¹ = 86179 is a prime.

It is a super-2 number, since 2×86181² = 14854329522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 14.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86181.

It is not an unprimeable number, because it can be changed into a prime (86183) 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, 556 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (15000).

2⁸⁶¹⁸¹ is an apocalyptic number.

It is an amenable number.

86181 is a deficient number, since it is larger than the sum of its proper divisors (33819).

86181 is a wasteful number, since it uses less digits than its factorization.

86181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275.

The product of its digits is 384, while the sum is 24.

The square root of 86181 is about 293.5660062064. The cubic root of 86181 is about 44.1709943942.

The spelling of 86181 in words is "eighty-six thousand, one hundred eighty-one".