828123 has 4 divisors (see below), whose sum is σ = 1104168. Its totient is φ = 552080.

The previous prime is 828119. The next prime is 828127. The reversal of 828123 is 321828.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (828119) and next prime (828127).

It is a cyclic number.

It is not a de Polignac number, because 828123 - 2² = 828119 is a prime.

It is an Ulam number.

It is a D-number.

828123 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 828093 and 828102.

It is not an unprimeable number, because it can be changed into a prime (828127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138018 + ... + 138023.

It is an arithmetic number, because the mean of its divisors is an integer number (276042).

2⁸²⁸¹²³ is an apocalyptic number.

828123 is a deficient number, since it is larger than the sum of its proper divisors (276045).

828123 is a wasteful number, since it uses less digits than its factorization.

828123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276044.

The product of its digits is 768, while the sum is 24.

The square root of 828123 is about 910.0126372749. The cubic root of 828123 is about 93.9070682573.

The spelling of 828123 in words is "eight hundred twenty-eight thousand, one hundred twenty-three".