86111 has 2 divisors, whose sum is σ = 86112. Its totient is φ = 86110.

The previous prime is 86083. The next prime is 86113. The reversal of 86111 is 11168.

Adding to 86111 its reverse (11168), we get a palindrome (97279).

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 86111 - 2^{10} = 85087 is a prime.

It is a Sophie Germain prime.

Together with 86113, it forms a pair of twin primes.

It is a Chen prime.

86111 is a modest number, since divided by 111 gives 86 as remainder.

It is a nialpdrome in base 10.

It is a zygodrome in base 4.

It is a self number, because there is not a number *n* which added to its sum of digits gives 86111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86113) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43055 + 43056.

It is an arithmetic number, because the mean of its divisors is an integer number (43056).

2^{86111} is an apocalyptic number.

86111 is a deficient number, since it is larger than the sum of its proper divisors (1).

86111 is an equidigital number, since it uses as much as digits as its factorization.

86111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 17.

The square root of 86111 is about 293.4467583736. The cubic root of 86111 is about 44.1590319464.

The spelling of 86111 in words is "eighty-six thousand, one hundred eleven".

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