4112784 has 75 divisors (see below), whose sum is σ = 12469223. Its totient is φ = 1265472.

The previous prime is 4112777. The next prime is 4112807. The reversal of 4112784 is 4872114.

The square root of 4112784 is 2028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 2073600 = 1428^2 + 1440^2 .

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 316362 + ... + 316374.

Almost surely, 2^4112784 is an apocalyptic number.

4112784 is the 2028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112784

4112784 is an abundant number, since it is smaller than the sum of its proper divisors (8356439).

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

4112784 is an equidigital number, since it uses as much as digits as its factorization.

4112784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 18 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The cubic root of 4112784 is about 160.2182438415.

Adding to 4112784 its reverse (4872114), we get a palindrome (8984898).

The spelling of 4112784 in words is "four million, one hundred twelve thousand, seven hundred eighty-four".