823786121 has 2 divisors, whose sum is σ = 823786122. Its totient is φ = 823786120.

The previous prime is 823786111. The next prime is 823786127. The reversal of 823786121 is 121687328.

823786121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 662496121 + 161290000 = 25739^2 + 12700^2 .

It is a cyclic number.

It is not a de Polignac number, because 823786121 - 2⁶ = 823786057 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_42305969 and since 823786121 and 42305969 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (823786127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411893060 + 411893061.

It is an arithmetic number, because the mean of its divisors is an integer number (411893061).

Almost surely, 2^823786121 is an apocalyptic number.

It is an amenable number.

823786121 is a deficient number, since it is larger than the sum of its proper divisors (1).

823786121 is an equidigital number, since it uses as much as digits as its factorization.

823786121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 38.

The square root of 823786121 is about 28701.6745330303. The cubic root of 823786121 is about 937.4285085869.

The spelling of 823786121 in words is "eight hundred twenty-three million, seven hundred eighty-six thousand, one hundred twenty-one".