208829 has 8 divisors (see below), whose sum is σ = 228000. Its totient is φ = 190512.

The previous prime is 208807. The next prime is 208837. The reversal of 208829 is 928802.

208829 is nontrivially palindromic in base 14.

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 208829 - 2¹² = 204733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (28500).

2²⁰⁸⁸²⁹ is an apocalyptic number.

208829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

208829 is a deficient number, since it is larger than the sum of its proper divisors (19171).

208829 is a wasteful number, since it uses less digits than its factorization.

208829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 208829 is about 456.9781176380. The cubic root of 208829 is about 59.3285320639.

The spelling of 208829 in words is "two hundred eight thousand, eight hundred twenty-nine".