4213 has 4 divisors (see below), whose sum is σ = 4608. Its totient is φ = 3820.

The previous prime is 4211. The next prime is 4217. The reversal of 4213 is 3124.

4213 = T₂₂ + T₂₃ + ... + T₃₂.

It is the 27-th star number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4213 - 2¹ = 4211 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4213.

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 3 ways as a sum of consecutive naturals, for example, 181 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (1152).

2⁴²¹³ is an apocalyptic number.

It is an amenable number.

4213 is a deficient number, since it is larger than the sum of its proper divisors (395).

4213 is a wasteful number, since it uses less digits than its factorization.

4213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394.

The product of its digits is 24, while the sum is 10.

The square root of 4213 is about 64.9076266705. The cubic root of 4213 is about 16.1509158008.

Adding to 4213 its reverse (3124), we get a palindrome (7337).

Subtracting from 4213 its reverse (3124), we obtain a square (1089 = 33²).

It can be divided in two parts, 421 and 3, that added together give a palindrome (424).

The spelling of 4213 in words is "four thousand, two hundred thirteen".