8400967 has 2 divisors, whose sum is σ = 8400968. Its totient is φ = 8400966.

The previous prime is 8400943. The next prime is 8400971. The reversal of 8400967 is 7690048.

8400967 is nontrivially palindromic in base 14.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8400967 - 2¹⁹ = 7876679 is a prime.

8400967 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8400937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4200483 + 4200484.

It is an arithmetic number, because the mean of its divisors is an integer number (4200484).

Almost surely, 2^8400967 is an apocalyptic number.

8400967 is a deficient number, since it is larger than the sum of its proper divisors (1).

8400967 is an equidigital number, since it uses as much as digits as its factorization.

8400967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8400967 is about 2898.4421677860. The cubic root of 8400967 is about 203.2870715024.

The spelling of 8400967 in words is "eight million, four hundred thousand, nine hundred sixty-seven".