52213 has 4 divisors (see below), whose sum is σ = 59680. Its totient is φ = 44748.

The previous prime is 52201. The next prime is 52223. The reversal of 52213 is 31225.

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 52213 - 2⁵ = 52181 is a prime.

It is the 229-th Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52193 and 52202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52223) by changing a digit.

It is a nontrivial repunit in base 228.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3723 + ... + 3736.

It is an arithmetic number, because the mean of its divisors is an integer number (14920).

2⁵²²¹³ is an apocalyptic number.

It is an amenable number.

52213 is a deficient number, since it is larger than the sum of its proper divisors (7467).

52213 is an equidigital number, since it uses as much as digits as its factorization.

52213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466.

The product of its digits is 60, while the sum is 13.

The square root of 52213 is about 228.5016411320. The cubic root of 52213 is about 37.3760052749.

Adding to 52213 its reverse (31225), we get a palindrome (83438).

It can be divided in two parts, 522 and 13, that multiplied together give a triangular number (6786 = T₁₁₆).

The spelling of 52213 in words is "fifty-two thousand, two hundred thirteen".