86395 has 8 divisors (see below), whose sum is σ = 106704. Its totient is φ = 67104.

The previous prime is 86389. The next prime is 86399. The reversal of 86395 is 59368.

86395 = T₄₉ + T₅₀ + ... + T₈₅.

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

It is a cyclic number.

It is not a de Polignac number, because 86395 - 2¹¹ = 84347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (13338).

2⁸⁶³⁹⁵ is an apocalyptic number.

86395 is a deficient number, since it is larger than the sum of its proper divisors (20309).

86395 is a wasteful number, since it uses less digits than its factorization.

86395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509.

The product of its digits is 6480, while the sum is 31.

The square root of 86395 is about 293.9302638382. The cubic root of 86395 is about 44.2075251822.

The spelling of 86395 in words is "eighty-six thousand, three hundred ninety-five".