213307 has 2 divisors, whose sum is σ = 213308. Its totient is φ = 213306.

The previous prime is 213289. The next prime is 213319. The reversal of 213307 is 703312.

213307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213307 - 2¹⁵ = 180539 is a prime.

213307 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (213337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106653 + 106654.

It is an arithmetic number, because the mean of its divisors is an integer number (106654).

2²¹³³⁰⁷ is an apocalyptic number.

213307 is a deficient number, since it is larger than the sum of its proper divisors (1).

213307 is an equidigital number, since it uses as much as digits as its factorization.

213307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 213307 is about 461.8517078024. The cubic root of 213307 is about 59.7496046378.

Adding to 213307 its reverse (703312), we get a palindrome (916619).

The spelling of 213307 in words is "two hundred thirteen thousand, three hundred seven".