823128727 has 2 divisors, whose sum is σ = 823128728. Its totient is φ = 823128726.

The previous prime is 823128703. The next prime is 823128737. The reversal of 823128727 is 727821328.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 823128727 - 2⁷ = 823128599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 823128727.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823128737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411564363 + 411564364.

It is an arithmetic number, because the mean of its divisors is an integer number (411564364).

Almost surely, 2^823128727 is an apocalyptic number.

823128727 is a deficient number, since it is larger than the sum of its proper divisors (1).

823128727 is an equidigital number, since it uses as much as digits as its factorization.

823128727 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75264, while the sum is 40.

The square root of 823128727 is about 28690.2200584101. The cubic root of 823128727 is about 937.1790814349.

The spelling of 823128727 in words is "eight hundred twenty-three million, one hundred twenty-eight thousand, seven hundred twenty-seven".