4065312 has 96 divisors (see below), whose sum is σ = 11757312. Its totient is φ = 1224704.

The previous prime is 4065293. The next prime is 4065317. The reversal of 4065312 is 2135604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4065317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76678 + ... + 76730.

It is an arithmetic number, because the mean of its divisors is an integer number (122472).

Almost surely, 2^4065312 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 4065312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878656).

4065312 is an abundant number, since it is smaller than the sum of its proper divisors (7692000).

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

4065312 is a wasteful number, since it uses less digits than its factorization.

4065312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4065312 is about 2016.2618877517. The cubic root of 4065312 is about 159.5994145744.

The spelling of 4065312 in words is "four million, sixty-five thousand, three hundred twelve".