4214112 has 48 divisors (see below), whose sum is σ = 12644352. Its totient is φ = 1203840.

The previous prime is 4214087. The next prime is 4214117. The reversal of 4214112 is 2114124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4214091 and 4214100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214117) 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 7 ways as a sum of consecutive naturals, for example, 2464 + ... + 3807.

It is an arithmetic number, because the mean of its divisors is an integer number (263424).

Almost surely, 2^4214112 is an apocalyptic number.

4214112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4214112 is an abundant number, since it is smaller than the sum of its proper divisors (8430240).

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

4214112 is a wasteful number, since it uses less digits than its factorization.

4214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6283 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 4214112 is about 2052.8302413984. The cubic root of 4214112 is about 161.5233665993.

Adding to 4214112 its reverse (2114124), we get a palindrome (6328236).

It can be divided in two parts, 42 and 14112, that multiplied together give a cube (592704 = 84³).

The spelling of 4214112 in words is "four million, two hundred fourteen thousand, one hundred twelve".