122829 has 8 divisors (see below), whose sum is σ = 187200. Its totient is φ = 70176.

The previous prime is 122827. The next prime is 122833. The reversal of 122829 is 928221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122829 - 2¹ = 122827 is a prime.

122829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 122799 and 122808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122827) 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, 2904 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2¹²²⁸²⁹ is an apocalyptic number.

It is an amenable number.

122829 is a deficient number, since it is larger than the sum of its proper divisors (64371).

122829 is an equidigital number, since it uses as much as digits as its factorization.

122829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859.

The product of its digits is 576, while the sum is 24.

The square root of 122829 is about 350.4696848516. The cubic root of 122829 is about 49.7088411549.

The spelling of 122829 in words is "one hundred twenty-two thousand, eight hundred twenty-nine".