86105935 has 16 divisors (see below), whose sum is σ = 109946592. Its totient is φ = 64512000.

The previous prime is 86105917. The next prime is 86105939. The reversal of 86105935 is 53950168.

It is not a de Polignac number, because 86105935 - 2⁷ = 86105807 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86105894 and 86105903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86105939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15535 + ... + 20335.

It is an arithmetic number, because the mean of its divisors is an integer number (6871662).

Almost surely, 2^86105935 is an apocalyptic number.

86105935 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

86105935 is a deficient number, since it is larger than the sum of its proper divisors (23840657).

86105935 is a wasteful number, since it uses less digits than its factorization.

86105935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 86105935 is about 9279.3283700923. The cubic root of 86105935 is about 441.5816612640.

The spelling of 86105935 in words is "eighty-six million, one hundred five thousand, nine hundred thirty-five".