4214124 has 72 divisors (see below), whose sum is σ = 11509680. Its totient is φ = 1296000.

The previous prime is 4214123. The next prime is 4214131.

4214124 is nontrivially palindromic in base 10.

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

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 = 4214097 and 4214106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214123) 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, 41674 + ... + 41774.

Almost surely, 2^4214124 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 4214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754840).

4214124 is an abundant number, since it is smaller than the sum of its proper divisors (7295556).

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

4214124 is a wasteful number, since it uses less digits than its factorization.

4214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4214124 is about 2052.8331641904. The cubic root of 4214124 is about 161.5235199158.

The spelling of 4214124 in words is "four million, two hundred fourteen thousand, one hundred twenty-four".