4113312 has 48 divisors (see below), whose sum is σ = 12341952. Its totient is φ = 1175040.

The previous prime is 4113311. The next prime is 4113341. The reversal of 4113312 is 2133114.

4113312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4113291 and 4113300.

It is not an unprimeable number, because it can be changed into a prime (4113311) 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 7 ways as a sum of consecutive naturals, for example, 2389 + ... + 3732.

It is an arithmetic number, because the mean of its divisors is an integer number (257124).

Almost surely, 2^4113312 is an apocalyptic number.

4113312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4113312 is an abundant number, since it is smaller than the sum of its proper divisors (8228640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4113312 is a wasteful number, since it uses less digits than its factorization.

4113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6133 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 4113312 is about 2028.1301733370. The cubic root of 4113312 is about 160.2250998311.

Adding to 4113312 its reverse (2133114), we get a palindrome (6246426).

The spelling of 4113312 in words is "four million, one hundred thirteen thousand, three hundred twelve".