8395 has 8 divisors (see below), whose sum is σ = 10656. Its totient is φ = 6336.

The previous prime is 8389. The next prime is 8419. The reversal of 8395 is 5938.

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 8395 - 2³ = 8387 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

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, 79 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (1332).

2⁸³⁹⁵ is an apocalyptic number.

8395 is a deficient number, since it is larger than the sum of its proper divisors (2261).

8395 is a wasteful number, since it uses less digits than its factorization.

8395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101.

The product of its digits is 1080, while the sum is 25.

The square root of 8395 is about 91.6242326025. The cubic root of 8395 is about 20.3238930169.

It can be divided in two parts, 8 and 395, that multiplied together give a triangular number (3160 = T₇₉).

The spelling of 8395 in words is "eight thousand, three hundred ninety-five".