9829 has 2 divisors, whose sum is σ = 9830. Its totient is φ = 9828.

The previous prime is 9817. The next prime is 9833. The reversal of 9829 is 9289.

It is a happy number.

9829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 225 = 98^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 9829 - 2¹³ = 1637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9797 and 9806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9839) 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, 4914 + 4915.

It is an arithmetic number, because the mean of its divisors is an integer number (4915).

2⁹⁸²⁹ is an apocalyptic number.

It is an amenable number.

9829 is a deficient number, since it is larger than the sum of its proper divisors (1).

9829 is an equidigital number, since it uses as much as digits as its factorization.

9829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 28.

The square root of 9829 is about 99.1413132856. The cubic root of 9829 is about 21.4208374206.

Subtracting from 9829 its sum of digits (28), we obtain a square (9801 = 99²).

It can be divided in two parts, 9 and 829, that added together give a palindrome (838).

The spelling of 9829 in words is "nine thousand, eight hundred twenty-nine".