8006193 has 24 divisors (see below), whose sum is σ = 12765480. Its totient is φ = 4803840.

The previous prime is 8006179. The next prime is 8006203. The reversal of 8006193 is 3916008.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 7969329 = 192^2 + 2823^2 .

It is not a de Polignac number, because 8006193 - 2⁴ = 8006177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8006893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3963 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (531895).

Almost surely, 2^8006193 is an apocalyptic number.

It is an amenable number.

8006193 is a deficient number, since it is larger than the sum of its proper divisors (4759287).

8006193 is a wasteful number, since it uses less digits than its factorization.

8006193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 8006193 is about 2829.5216910284. The cubic root of 8006193 is about 200.0515950220.

The spelling of 8006193 in words is "eight million, six thousand, one hundred ninety-three".