4001712 has 120 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 1098240.

The previous prime is 4001689. The next prime is 4001713. The reversal of 4001712 is 2171004.

It is a junction number, because it is equal to n+sod(n) for n = 4001691 and 4001700.

It is not an unprimeable number, because it can be changed into a prime (4001713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75478 + ... + 75530.

Almost surely, 2^4001712 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 4001712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

4001712 is an abundant number, since it is smaller than the sum of its proper divisors (8466240).

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

4001712 is a wasteful number, since it uses less digits than its factorization.

4001712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 4001712 is about 2000.4279542138. The cubic root of 4001712 is about 158.7627488883.

Adding to 4001712 its reverse (2171004), we get a palindrome (6172716).

It can be divided in two parts, 400 and 1712, that added together give a palindrome (2112).

The spelling of 4001712 in words is "four million, one thousand, seven hundred twelve".