65213 has 2 divisors, whose sum is σ = 65214. Its totient is φ = 65212.

The previous prime is 65203. The next prime is 65239. The reversal of 65213 is 31256.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47524 + 17689 = 218^2 + 133^2 .

It is a cyclic number.

It is not a de Polignac number, because 65213 - 2¹⁰ = 64189 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 65191 and 65200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32606 + 32607.

It is an arithmetic number, because the mean of its divisors is an integer number (32607).

2⁶⁵²¹³ is an apocalyptic number.

65213 is the 137-th centered heptagonal number.

It is an amenable number.

65213 is a deficient number, since it is larger than the sum of its proper divisors (1).

65213 is an equidigital number, since it uses as much as digits as its factorization.

65213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 17.

The square root of 65213 is about 255.3683613919. The cubic root of 65213 is about 40.2511283971.

Adding to 65213 its reverse (31256), we get a palindrome (96469).

The spelling of 65213 in words is "sixty-five thousand, two hundred thirteen".