8013643 has 8 divisors (see below), whose sum is σ = 8829936. Its totient is φ = 7212000.

The previous prime is 8013623. The next prime is 8013659. The reversal of 8013643 is 3463108.

8013643 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8013643 - 2¹⁷ = 7882571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8013623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2496 + ... + 4717.

It is an arithmetic number, because the mean of its divisors is an integer number (1103742).

Almost surely, 2^8013643 is an apocalyptic number.

8013643 is a deficient number, since it is larger than the sum of its proper divisors (816293).

8013643 is a wasteful number, since it uses less digits than its factorization.

8013643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 8013643 is about 2830.8378618353. The cubic root of 8013643 is about 200.1136270989.

It can be divided in two parts, 801 and 3643, that added together give a palindrome (4444).

The spelling of 8013643 in words is "eight million, thirteen thousand, six hundred forty-three".