820467451 has 2 divisors, whose sum is σ = 820467452. Its totient is φ = 820467450.

The previous prime is 820467407. The next prime is 820467467. The reversal of 820467451 is 154764028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820467451 - 2⁹ = 820466939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820467451.

It is not a weakly prime, because it can be changed into another prime (820467491) 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, 410233725 + 410233726.

It is an arithmetic number, because the mean of its divisors is an integer number (410233726).

Almost surely, 2^820467451 is an apocalyptic number.

820467451 is a deficient number, since it is larger than the sum of its proper divisors (1).

820467451 is an equidigital number, since it uses as much as digits as its factorization.

820467451 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 820467451 is about 28643.8030121700. The cubic root of 820467451 is about 936.1679860637.

The spelling of 820467451 in words is "eight hundred twenty million, four hundred sixty-seven thousand, four hundred fifty-one".