4298112 has 192 divisors, whose sum is σ = 15593760. Its totient is φ = 1105920.

The previous prime is 4298089. The next prime is 4298113. The reversal of 4298112 is 2118924.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4298113) 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 23 ways as a sum of consecutive naturals, for example, 104812 + ... + 104852.

Almost surely, 2^4298112 is an apocalyptic number.

4298112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796880).

4298112 is an abundant number, since it is smaller than the sum of its proper divisors (11295648).

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

4298112 is a wasteful number, since it uses less digits than its factorization.

4298112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4298112 is about 2073.1888481274. The cubic root of 4298112 is about 162.5895301511.

It can be divided in two parts, 4 and 298112, that added together give a square (298116 = 546²).

The spelling of 4298112 in words is "four million, two hundred ninety-eight thousand, one hundred twelve".