820193123 has 2 divisors, whose sum is σ = 820193124. Its totient is φ = 820193122.

The previous prime is 820193113. The next prime is 820193177. The reversal of 820193123 is 321391028.

820193123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820193123 - 2¹⁴ = 820176739 is a prime.

It is not a weakly prime, because it can be changed into another prime (820193113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410096561 + 410096562.

It is an arithmetic number, because the mean of its divisors is an integer number (410096562).

Almost surely, 2^820193123 is an apocalyptic number.

820193123 is a deficient number, since it is larger than the sum of its proper divisors (1).

820193123 is an equidigital number, since it uses as much as digits as its factorization.

820193123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 820193123 is about 28639.0140018821. The cubic root of 820193123 is about 936.0636367203.

The spelling of 820193123 in words is "eight hundred twenty million, one hundred ninety-three thousand, one hundred twenty-three".