8213 has 4 divisors (see below), whose sum is σ = 8448. Its totient is φ = 7980.

The previous prime is 8209. The next prime is 8219. The reversal of 8213 is 3128.

8213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 8213 - 2² = 8209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219) 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, 53 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (2112).

2⁸²¹³ is an apocalyptic number.

It is an amenable number.

8213 is a deficient number, since it is larger than the sum of its proper divisors (235).

8213 is a wasteful number, since it uses less digits than its factorization.

8213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234.

The product of its digits is 48, while the sum is 14.

The square root of 8213 is about 90.6256034463. The cubic root of 8213 is about 20.1759475833.

The spelling of 8213 in words is "eight thousand, two hundred thirteen".