8835 has 16 divisors (see below), whose sum is σ = 15360. Its totient is φ = 4320.

The previous prime is 8831. The next prime is 8837. The reversal of 8835 is 5388.

8835 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 94²-1.

It is not a de Polignac number, because 8835 - 2² = 8831 is a prime.

8835 is strictly pandigital in base 6.

8835 is a lucky number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8831) 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 15 ways as a sum of consecutive naturals, for example, 270 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (960).

2⁸⁸³⁵ is an apocalyptic number.

8835 is a deficient number, since it is larger than the sum of its proper divisors (6525).

8835 is a wasteful number, since it uses less digits than its factorization.

8835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58.

The product of its digits is 960, while the sum is 24.

The square root of 8835 is about 93.9946807006. The cubic root of 8835 is about 20.6729371654.

Subtracting from 8835 its product of digits (960), we obtain a triangular number (7875 = T₁₂₅).

It can be divided in two parts, 883 and 5, that added together give a palindrome (888).

The spelling of 8835 in words is "eight thousand, eight hundred thirty-five".