821045723 has 2 divisors, whose sum is σ = 821045724. Its totient is φ = 821045722.

The previous prime is 821045713. The next prime is 821045747. The reversal of 821045723 is 327540128.

821045723 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 821045723 - 2⁴ = 821045707 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 821045723.

It is not a weakly prime, because it can be changed into another prime (821045713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410522861 + 410522862.

It is an arithmetic number, because the mean of its divisors is an integer number (410522862).

Almost surely, 2^821045723 is an apocalyptic number.

821045723 is a deficient number, since it is larger than the sum of its proper divisors (1).

821045723 is an equidigital number, since it uses as much as digits as its factorization.

821045723 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 821045723 is about 28653.8954245317. The cubic root of 821045723 is about 936.3878739654.

The spelling of 821045723 in words is "eight hundred twenty-one million, forty-five thousand, seven hundred twenty-three".