4214100 has 72 divisors (see below), whose sum is σ = 13311648. Its totient is φ = 1020800.

The previous prime is 4214087. The next prime is 4214117. The reversal of 4214100 is 14124.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2662 + ... + 3938.

It is an arithmetic number, because the mean of its divisors is an integer number (184884).

Almost surely, 2^4214100 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 4214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655824).

4214100 is an abundant number, since it is smaller than the sum of its proper divisors (9097548).

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

4214100 is a wasteful number, since it uses less digits than its factorization.

4214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4214100 is about 2052.8273186023. The cubic root of 4214100 is about 161.5232132825.

Adding to 4214100 its reverse (14124), we get a palindrome (4228224).

The spelling of 4214100 in words is "four million, two hundred fourteen thousand, one hundred".