8355 has 8 divisors (see below), whose sum is σ = 13392. Its totient is φ = 4448.

The previous prime is 8353. The next prime is 8363. The reversal of 8355 is 5538.

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 8355 - 2¹ = 8353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

2⁸³⁵⁵ is an apocalyptic number.

8355 is a deficient number, since it is larger than the sum of its proper divisors (5037).

8355 is a wasteful number, since it uses less digits than its factorization.

8355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its digits is 600, while the sum is 21.

The square root of 8355 is about 91.4056891008. The cubic root of 8355 is about 20.2915622516.

It can be divided in two parts, 8 and 355, that added together give a palindrome (363).

The spelling of 8355 in words is "eight thousand, three hundred fifty-five".