829

829 is a natural number that follows 828 and precedes 830. It is an odd prime in decimal notation.

In mathematics, 829 is prime. It is congruent to 1 modulo 4, and it can be expressed as a sum of two squares: 829 = 27^2 + 10^2. It is not divisible by any prime less than or equal to 29, confirming its primality. Its neighbors include 827 and 839.

Numeral representations of 829 include: decimal 829; binary 1100111101; hexadecimal 0x33D; and octal 1475. In Roman numerals, 829 is written as DCCCXXIX.

As a year, 829 AD falls in the early medieval period. The specific historical events of that year vary by region and source, but it is noted as part of the broader chronology of the 9th century.

In telecommunications, 829 is assigned as an area code serving the Dominican Republic (along with 809 and 849) within the North American Numbering Plan. This usage reflects the numbering scheme used in NANP country codes for routing telephone calls to the Dominican Republic.