86681 has 12 divisors (see below), whose sum is σ = 106020. Its totient is φ = 70560.

The previous prime is 86677. The next prime is 86689. The reversal of 86681 is 18668.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 67081 = 140^2 + 259^2 .

It is not a de Polignac number, because 86681 - 2² = 86677 is a prime.

It is a super-2 number, since 2×86681² = 15027191522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86689) 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, 1391 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2⁸⁶⁶⁸¹ is an apocalyptic number.

It is an amenable number.

86681 is a deficient number, since it is larger than the sum of its proper divisors (19339).

86681 is a wasteful number, since it uses less digits than its factorization.

86681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 86681 is about 294.4163718274. The cubic root of 86681 is about 44.2562526409.

It can be divided in two parts, 86 and 681, that added together give a palindrome (767).

The spelling of 86681 in words is "eighty-six thousand, six hundred eighty-one".