821024993 has 2 divisors, whose sum is σ = 821024994. Its totient is φ = 821024992.

The previous prime is 821024983. The next prime is 821025011. The reversal of 821024993 is 399420128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 761318464 + 59706529 = 27592^2 + 7727^2 .

It is a cyclic number.

It is not a de Polignac number, because 821024993 - 2¹² = 821020897 is a prime.

It is not a weakly prime, because it can be changed into another prime (821024923) 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, 410512496 + 410512497.

It is an arithmetic number, because the mean of its divisors is an integer number (410512497).

Almost surely, 2^821024993 is an apocalyptic number.

It is an amenable number.

821024993 is a deficient number, since it is larger than the sum of its proper divisors (1).

821024993 is an equidigital number, since it uses as much as digits as its factorization.

821024993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 821024993 is about 28653.5336913268. The cubic root of 821024993 is about 936.3799931684.

The spelling of 821024993 in words is "eight hundred twenty-one million, twenty-four thousand, nine hundred ninety-three".