213613 has 2 divisors, whose sum is σ = 213614. Its totient is φ = 213612.

The previous prime is 213611. The next prime is 213623. The reversal of 213613 is 316312.

213613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 169 = 462^2 + 13^2 .

213613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 213613 - 2¹ = 213611 is a prime.

Together with 213611, it forms a pair of twin primes.

213613 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106806 + 106807.

It is an arithmetic number, because the mean of its divisors is an integer number (106807).

2²¹³⁶¹³ is an apocalyptic number.

It is an amenable number.

213613 is a deficient number, since it is larger than the sum of its proper divisors (1).

213613 is an equidigital number, since it uses as much as digits as its factorization.

213613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 16.

The square root of 213613 is about 462.1828642431. The cubic root of 213613 is about 59.7781622928.

Adding to 213613 its reverse (316312), we get a palindrome (529925).

The spelling of 213613 in words is "two hundred thirteen thousand, six hundred thirteen".