86905 has 16 divisors (see below), whose sum is σ = 129024. Its totient is φ = 54720.

The previous prime is 86869. The next prime is 86923. The reversal of 86905 is 50968.

It is not a de Polignac number, because 86905 - 2¹¹ = 84857 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2⁸⁶⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

86905 is a deficient number, since it is larger than the sum of its proper divisors (42119).

86905 is a wasteful number, since it uses less digits than its factorization.

86905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 86905 is about 294.7965400068. The cubic root of 86905 is about 44.2943420087.

Subtracting from 86905 its reverse (50968), we obtain a cube (35937 = 33³).

The spelling of 86905 in words is "eighty-six thousand, nine hundred five".