8404993 has 2 divisors, whose sum is σ = 8404994. Its totient is φ = 8404992.

The previous prime is 8404969. The next prime is 8404997. The reversal of 8404993 is 3994048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6492304 + 1912689 = 2548^2 + 1383^2 .

It is a cyclic number.

It is not a de Polignac number, because 8404993 - 2¹⁷ = 8273921 is a prime.

It is not a weakly prime, because it can be changed into another prime (8404997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4202496 + 4202497.

It is an arithmetic number, because the mean of its divisors is an integer number (4202497).

It is a Proth number, since it is equal to 513 ⋅ 2¹⁴ + 1 and 513 < 2¹⁴.

Almost surely, 2^8404993 is an apocalyptic number.

It is an amenable number.

8404993 is a deficient number, since it is larger than the sum of its proper divisors (1).

8404993 is an equidigital number, since it uses as much as digits as its factorization.

8404993 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 37.

The square root of 8404993 is about 2899.1365956091. The cubic root of 8404993 is about 203.3195401077.

The spelling of 8404993 in words is "eight million, four hundred four thousand, nine hundred ninety-three".