8013645 has 24 divisors (see below), whose sum is σ = 14268696. Its totient is φ = 4157568.

The previous prime is 8013623. The next prime is 8013659. The reversal of 8013645 is 5463108.

8013645 is a `hidden beast` number, since 8 + 0 + 13 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3164841 + 4848804 = 1779^2 + 2202^2 .

It is not a de Polignac number, because 8013645 - 2⁶ = 8013581 is a prime.

It is a super-3 number, since 3×8013645³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 742 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (594529).

Almost surely, 2^8013645 is an apocalyptic number.

It is an amenable number.

8013645 is a deficient number, since it is larger than the sum of its proper divisors (6255051).

8013645 is a wasteful number, since it uses less digits than its factorization.

8013645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8013645 is about 2830.8382150875. The cubic root of 8013645 is about 200.1136437466.

The spelling of 8013645 in words is "eight million, thirteen thousand, six hundred forty-five".