821007853 has 2 divisors, whose sum is σ = 821007854. Its totient is φ = 821007852.

The previous prime is 821007829. The next prime is 821007871. The reversal of 821007853 is 358700128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456121449 + 364886404 = 21357^2 + 19102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-821007853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821007553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410503926 + 410503927.

It is an arithmetic number, because the mean of its divisors is an integer number (410503927).

Almost surely, 2^821007853 is an apocalyptic number.

It is an amenable number.

821007853 is a deficient number, since it is larger than the sum of its proper divisors (1).

821007853 is an equidigital number, since it uses as much as digits as its factorization.

821007853 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 34.

The square root of 821007853 is about 28653.2345992560. The cubic root of 821007853 is about 936.3734770595.

The spelling of 821007853 in words is "eight hundred twenty-one million, seven thousand, eight hundred fifty-three".