828123129 has 16 divisors (see below), whose sum is σ = 1246963840. Its totient is φ = 543030480.

The previous prime is 828123097. The next prime is 828123143. The reversal of 828123129 is 921321828.

It is not a de Polignac number, because 828123129 - 2⁵ = 828123097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 828123093 and 828123102.

It is not an unprimeable number, because it can be changed into a prime (828123029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249757 + ... + 253050.

It is an arithmetic number, because the mean of its divisors is an integer number (77935240).

Almost surely, 2^828123129 is an apocalyptic number.

It is an amenable number.

828123129 is a deficient number, since it is larger than the sum of its proper divisors (418840711).

828123129 is a wasteful number, since it uses less digits than its factorization.

828123129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502877 (or 502871 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 828123129 is about 28777.1285746163. The cubic root of 828123129 is about 939.0707313335.

The spelling of 828123129 in words is "eight hundred twenty-eight million, one hundred twenty-three thousand, one hundred twenty-nine".