86111991 has 40 divisors (see below), whose sum is σ = 152111520. Its totient is φ = 47500992.

The previous prime is 86111959. The next prime is 86111999. The reversal of 86111991 is 19911168.

It is not a de Polignac number, because 86111991 - 2⁵ = 86111959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86111999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13825 + ... + 19061.

It is an arithmetic number, because the mean of its divisors is an integer number (3802788).

Almost surely, 2^86111991 is an apocalyptic number.

86111991 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86111991 is a deficient number, since it is larger than the sum of its proper divisors (65999529).

86111991 is a wasteful number, since it uses less digits than its factorization.

86111991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5276 counting only the distinct ones).

The product of its digits is 3888, while the sum is 36.

The square root of 86111991 is about 9279.6546810752. The cubic root of 86111991 is about 441.5920134573.

The spelling of 86111991 in words is "eighty-six million, one hundred eleven thousand, nine hundred ninety-one".