820477417 has 2 divisors, whose sum is σ = 820477418. Its totient is φ = 820477416.

The previous prime is 820477393. The next prime is 820477429. The reversal of 820477417 is 714774028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 815902096 + 4575321 = 28564^2 + 2139^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820477417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820477417.

It is not a weakly prime, because it can be changed into another prime (820477457) 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, 410238708 + 410238709.

It is an arithmetic number, because the mean of its divisors is an integer number (410238709).

Almost surely, 2^820477417 is an apocalyptic number.

It is an amenable number.

820477417 is a deficient number, since it is larger than the sum of its proper divisors (1).

820477417 is an equidigital number, since it uses as much as digits as its factorization.

820477417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 87808, while the sum is 40.

The square root of 820477417 is about 28643.9769759718. The cubic root of 820477417 is about 936.1717765096.

The spelling of 820477417 in words is "eight hundred twenty million, four hundred seventy-seven thousand, four hundred seventeen".