829 has 2 divisors, whose sum is σ = 830. Its totient is φ = 828.

The previous prime is 827. The next prime is 839. The reversal of 829 is 928.

829 = T₂₂ + T₂₃ + T₂₄.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 729 + 100 = 27^2 + 10^2 .

It is a cyclic number.

It is not a de Polignac number, because 829 - 2¹ = 827 is a prime.

Together with 827, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414 + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (415).

829 is the 24-th centered triangular number.

It is an amenable number.

829 is a deficient number, since it is larger than the sum of its proper divisors (1).

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

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

The product of its digits is 144, while the sum is 19.

The square root of 829 is about 28.7923600978. The cubic root of 829 is about 9.3940206428.

Adding to 829 its sum of digits (19), we get a palindrome (848).

Multiplying 829 by its sum of digits (19), we get a palindrome (15751).

Subtracting 829 from its reverse (928), we obtain a palindrome (99).

It can be divided in two parts, 82 and 9, that added together give a triangular number (91 = T₁₃).

The spelling of 829 in words is "eight hundred twenty-nine", and thus it is an aban number and an oban number.