824123 has 2 divisors, whose sum is σ = 824124. Its totient is φ = 824122.

The previous prime is 824099. The next prime is 824137. The reversal of 824123 is 321428.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-824123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 824095 and 824104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 824123.

It is not a weakly prime, because it can be changed into another prime (824183) 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 as a sum of consecutive naturals, namely, 412061 + 412062.

It is an arithmetic number, because the mean of its divisors is an integer number (412062).

2⁸²⁴¹²³ is an apocalyptic number.

824123 is a deficient number, since it is larger than the sum of its proper divisors (1).

824123 is an equidigital number, since it uses as much as digits as its factorization.

824123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 20.

The square root of 824123 is about 907.8122052495. The cubic root of 824123 is about 93.7556275140.

The spelling of 824123 in words is "eight hundred twenty-four thousand, one hundred twenty-three".