86305 has 8 divisors (see below), whose sum is σ = 106344. Its totient is φ = 67200.

The previous prime is 86297. The next prime is 86311. The reversal of 86305 is 50368.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 77841 = 92^2 + 279^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 86305 - 2³ = 86297 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (13293).

2⁸⁶³⁰⁵ is an apocalyptic number.

It is an amenable number.

86305 is a deficient number, since it is larger than the sum of its proper divisors (20039).

86305 is a wasteful number, since it uses less digits than its factorization.

86305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 86305 is about 293.7771264071. Note that the first 3 decimals coincide. The cubic root of 86305 is about 44.1921691252.

Adding to 86305 its product of nonzero digits (720), we get a square (87025 = 295²).

Subtracting from 86305 its reverse (50368), we obtain a cube (35937 = 33³).

The spelling of 86305 in words is "eighty-six thousand, three hundred five".