821066413 has 2 divisors, whose sum is σ = 821066414. Its totient is φ = 821066412.

The previous prime is 821066339. The next prime is 821066417. The reversal of 821066413 is 314660128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 783832009 + 37234404 = 27997^2 + 6102^2 .

It is a cyclic number.

It is not a de Polignac number, because 821066413 - 2⁹ = 821065901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821066417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410533206 + 410533207.

It is an arithmetic number, because the mean of its divisors is an integer number (410533207).

Almost surely, 2^821066413 is an apocalyptic number.

It is an amenable number.

821066413 is a deficient number, since it is larger than the sum of its proper divisors (1).

821066413 is an equidigital number, since it uses as much as digits as its factorization.

821066413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 821066413 is about 28654.2564551935. The cubic root of 821066413 is about 936.3957394235.

The spelling of 821066413 in words is "eight hundred twenty-one million, sixty-six thousand, four hundred thirteen".