4211712 has 66 divisors (see below), whose sum is σ = 12187838. Its totient is φ = 1400832.

The previous prime is 4211707. The next prime is 4211723. The reversal of 4211712 is 2171124.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 147456 = 2016^2 + 384^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8988 + ... + 9444.

Almost surely, 2^4211712 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 4211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093919).

4211712 is an abundant number, since it is smaller than the sum of its proper divisors (7976126).

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

4211712 is a wasteful number, since it uses less digits than its factorization.

4211712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 462 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 4211712 is about 2052.2455993375. The cubic root of 4211712 is about 161.4926974496.

Adding to 4211712 its reverse (2171124), we get a palindrome (6382836).

The spelling of 4211712 in words is "four million, two hundred eleven thousand, seven hundred twelve".