200829 has 4 divisors (see below), whose sum is σ = 267776. Its totient is φ = 133884.

The previous prime is 200807. The next prime is 200843. The reversal of 200829 is 928002.

200829 = 97² + 98² + ... + 114².

200829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 200829 - 2⁵ = 200797 is a prime.

It is a D-number.

It is a Duffinian number.

200829 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33469 + ... + 33474.

It is an arithmetic number, because the mean of its divisors is an integer number (66944).

2²⁰⁰⁸²⁹ is an apocalyptic number.

It is an amenable number.

200829 is a deficient number, since it is larger than the sum of its proper divisors (66947).

200829 is an equidigital number, since it uses as much as digits as its factorization.

200829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66946.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 200829 is about 448.1394872135. The cubic root of 200829 is about 58.5610437383.

The spelling of 200829 in words is "two hundred thousand, eight hundred twenty-nine".