4000113 has 24 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 2435040.

The previous prime is 4000093. The next prime is 4000133. The reversal of 4000113 is 3110004.

4000113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4000093) and next prime (4000133).

It is not a de Polignac number, because 4000113 - 2⁵ = 4000081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 4000095 and 4000104.

It is not an unprimeable number, because it can be changed into a prime (4000133) 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, 20848 + ... + 21038.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^4000113 is an apocalyptic number.

It is an amenable number.

4000113 is a deficient number, since it is larger than the sum of its proper divisors (2289807).

4000113 is a wasteful number, since it uses less digits than its factorization.

4000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4000113 is about 2000.0282498005. The cubic root of 4000113 is about 158.7415999854.

Adding to 4000113 its reverse (3110004), we get a palindrome (7110117).

The spelling of 4000113 in words is "four million, one hundred thirteen", and thus it is an aban number.