8005440967 has 2 divisors, whose sum is σ = 8005440968. Its totient is φ = 8005440966.

The previous prime is 8005440929. The next prime is 8005441009. The reversal of 8005440967 is 7690445008.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8005440967 - 2³¹ = 5857957319 is a prime.

It is a super-2 number, since 2×8005440967² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8005440907) 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, 4002720483 + 4002720484.

It is an arithmetic number, because the mean of its divisors is an integer number (4002720484).

Almost surely, 2^8005440967 is an apocalyptic number.

8005440967 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005440967 is an equidigital number, since it uses as much as digits as its factorization.

8005440967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 8005440967 is about 89473.1298603106. The cubic root of 8005440967 is about 2000.4533111634.

The spelling of 8005440967 in words is "eight billion, five million, four hundred forty thousand, nine hundred sixty-seven".