86205119 has 24 divisors (see below), whose sum is σ = 116635680. Its totient is φ = 61997760.

The previous prime is 86205073. The next prime is 86205121. The reversal of 86205119 is 91150268.

It is not a de Polignac number, because 86205119 - 2¹⁶ = 86139583 is a prime.

It is a super-2 number, since 2×86205119² = 14862645083608322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86205169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7097 + ... + 14925.

It is an arithmetic number, because the mean of its divisors is an integer number (4859820).

Almost surely, 2^86205119 is an apocalyptic number.

86205119 is a deficient number, since it is larger than the sum of its proper divisors (30430561).

86205119 is a wasteful number, since it uses less digits than its factorization.

86205119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 86205119 is about 9284.6711842693. The cubic root of 86205119 is about 441.7511464049.

The spelling of 86205119 in words is "eighty-six million, two hundred five thousand, one hundred nineteen".