4005312 has 56 divisors (see below), whose sum is σ = 11070336. Its totient is φ = 1275648.

The previous prime is 4005307. The next prime is 4005317. The reversal of 4005312 is 2135004.

4005312 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 (4005307) and next prime (4005317).

It is a junction number, because it is equal to n+sod(n) for n = 4005291 and 4005300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005317) 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, 3963 + ... + 4869.

Almost surely, 2^4005312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535168).

4005312 is an abundant number, since it is smaller than the sum of its proper divisors (7065024).

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

4005312 is a wasteful number, since it uses less digits than its factorization.

4005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4005312 is about 2001.3275593965. The cubic root of 4005312 is about 158.8103430673.

The spelling of 4005312 in words is "four million, five thousand, three hundred twelve".