4214 has 12 divisors (see below), whose sum is σ = 7524. Its totient is φ = 1764.

The previous prime is 4211. The next prime is 4217. The reversal of 4214 is 4124.

It is an interprime number because it is at equal distance from previous prime (4211) and next prime (4217).

It is a Curzon number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4195 and 4204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (627).

2⁴²¹⁴ is an apocalyptic number.

4214 is a deficient number, since it is larger than the sum of its proper divisors (3310).

4214 is a wasteful number, since it uses less digits than its factorization.

4214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 52 counting only the distinct ones).

The product of its digits is 32, while the sum is 11.

The square root of 4214 is about 64.9153294685. The cubic root of 4214 is about 16.1521935631.

Adding to 4214 its sum of digits (11), we get a square (4225 = 65²).

Adding to 4214 its reverse (4124), we get a palindrome (8338).

The spelling of 4214 in words is "four thousand, two hundred fourteen", and thus it is an iban number.