4000712 has 32 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 1799424.

The previous prime is 4000709. The next prime is 4000723. The reversal of 4000712 is 2170004.

It is a happy number.

4000712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 2489 + ... + 3767.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 2^4000712 is an apocalyptic number.

It is an amenable number.

4000712 is an abundant number, since it is smaller than the sum of its proper divisors (4293688).

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

4000712 is a wasteful number, since it uses less digits than its factorization.

4000712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 4000712 is about 2000.1779920797. The cubic root of 4000712 is about 158.7495232176.

Adding to 4000712 its reverse (2170004), we get a palindrome (6170716).

It can be divided in two parts, 40007 and 12, that multiplied together give a palindrome (480084).

The spelling of 4000712 in words is "four million, seven hundred twelve", and thus it is an aban number.