8861 has 2 divisors, whose sum is σ = 8862. Its totient is φ = 8860.

The previous prime is 8849. The next prime is 8863. The reversal of 8861 is 1688.

8861 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 25 = 94^2 + 5^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8861 is a prime.

Together with 8863, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 7 and base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8863) 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 as a sum of consecutive naturals, namely, 4430 + 4431.

It is an arithmetic number, because the mean of its divisors is an integer number (4431).

2⁸⁸⁶¹ is an apocalyptic number.

It is an amenable number.

8861 is a deficient number, since it is larger than the sum of its proper divisors (1).

8861 is an equidigital number, since it uses as much as digits as its factorization.

8861 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 23.

The square root of 8861 is about 94.1328847959. The cubic root of 8861 is about 20.6931963607.

The spelling of 8861 in words is "eight thousand, eight hundred sixty-one".