86101 has 4 divisors (see below), whose sum is σ = 89100. Its totient is φ = 83104.

The previous prime is 86083. The next prime is 86111. The reversal of 86101 is 10168.

86101 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 70225 = 126^2 + 265^2 .

It is a cyclic number.

It is not a de Polignac number, because 86101 - 2⁵ = 86069 is a prime.

It is a Duffinian number.

86101 is a lucky number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86111) 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 3 ways as a sum of consecutive naturals, for example, 1456 + ... + 1513.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2⁸⁶¹⁰¹ is an apocalyptic number.

It is an amenable number.

86101 is a deficient number, since it is larger than the sum of its proper divisors (2999).

86101 is a wasteful number, since it uses less digits than its factorization.

86101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 86101 is about 293.4297190129. The cubic root of 86101 is about 44.1573224962.

Adding to 86101 its reverse (10168), we get a palindrome (96269).

The spelling of 86101 in words is "eighty-six thousand, one hundred one".