844129 has 8 divisors (see below), whose sum is σ = 991872. Its totient is φ = 708240.

The previous prime is 844127. The next prime is 844139. The reversal of 844129 is 921448.

844129 = 272² + 273² + ... + 282².

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

It is not a de Polignac number, because 844129 - 2¹ = 844127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 844097 and 844106.

It is not an unprimeable number, because it can be changed into a prime (844121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2809 + ... + 3094.

It is an arithmetic number, because the mean of its divisors is an integer number (123984).

2⁸⁴⁴¹²⁹ is an apocalyptic number.

It is an amenable number.

844129 is a deficient number, since it is larger than the sum of its proper divisors (147743).

844129 is a wasteful number, since it uses less digits than its factorization.

844129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927.

The product of its digits is 2304, while the sum is 28.

The square root of 844129 is about 918.7649318515. The cubic root of 844129 is about 94.5082250710.

The spelling of 844129 in words is "eight hundred forty-four thousand, one hundred twenty-nine".