823345253 has 2 divisors, whose sum is σ = 823345254. Its totient is φ = 823345252.

The previous prime is 823345163. The next prime is 823345261. The reversal of 823345253 is 352543328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 813504484 + 9840769 = 28522^2 + 3137^2 .

It is a cyclic number.

It is not a de Polignac number, because 823345253 - 2¹⁰ = 823344229 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823345273) 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, 411672626 + 411672627.

It is an arithmetic number, because the mean of its divisors is an integer number (411672627).

Almost surely, 2^823345253 is an apocalyptic number.

It is an amenable number.

823345253 is a deficient number, since it is larger than the sum of its proper divisors (1).

823345253 is an equidigital number, since it uses as much as digits as its factorization.

823345253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86400, while the sum is 35.

The square root of 823345253 is about 28693.9933261301. The cubic root of 823345253 is about 937.2612499709.

The spelling of 823345253 in words is "eight hundred twenty-three million, three hundred forty-five thousand, two hundred fifty-three".