210913 has 2 divisors, whose sum is σ = 210914. Its totient is φ = 210912.

The previous prime is 210911. The next prime is 210923. The reversal of 210913 is 319012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113569 + 97344 = 337^2 + 312^2 .

It is a cyclic number.

It is not a de Polignac number, because 210913 - 2¹ = 210911 is a prime.

Together with 210911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (210911) by changing a digit.

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 as a sum of consecutive naturals, namely, 105456 + 105457.

It is an arithmetic number, because the mean of its divisors is an integer number (105457).

2²¹⁰⁹¹³ is an apocalyptic number.

It is an amenable number.

210913 is a deficient number, since it is larger than the sum of its proper divisors (1).

210913 is an equidigital number, since it uses as much as digits as its factorization.

210913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 210913 is about 459.2526537757. The cubic root of 210913 is about 59.5252346884.

Adding to 210913 its reverse (319012), we get a palindrome (529925).

The spelling of 210913 in words is "two hundred ten thousand, nine hundred thirteen".