108829 has 6 divisors (see below), whose sum is σ = 126654. Its totient is φ = 93240.

The previous prime is 108827. The next prime is 108863. The reversal of 108829 is 928801.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 9604 = 315^2 + 98^2 .

It is not a de Polignac number, because 108829 - 2¹ = 108827 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 108797 and 108806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1062 + ... + 1159.

It is an arithmetic number, because the mean of its divisors is an integer number (21109).

2¹⁰⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

108829 is a deficient number, since it is larger than the sum of its proper divisors (17825).

108829 is an equidigital number, since it uses as much as digits as its factorization.

108829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 108829 is about 329.8924067025. The cubic root of 108829 is about 47.7435688460.

Subtracting from 108829 its sum of digits (28), we obtain a palindrome (108801).

The spelling of 108829 in words is "one hundred eight thousand, eight hundred twenty-nine".