19213 has 2 divisors, whose sum is σ = 19214. Its totient is φ = 19212.

The previous prime is 19211. The next prime is 19219. The reversal of 19213 is 31291.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 169 = 138^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 19213 - 2¹ = 19211 is a prime.

Together with 19211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9606 + 9607.

It is an arithmetic number, because the mean of its divisors is an integer number (9607).

2¹⁹²¹³ is an apocalyptic number.

It is an amenable number.

19213 is a deficient number, since it is larger than the sum of its proper divisors (1).

19213 is an equidigital number, since it uses as much as digits as its factorization.

19213 is an odious number, because the sum of its binary digits is odd.

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

The square root of 19213 is about 138.6109663771. The cubic root of 19213 is about 26.7833601317.

It can be divided in two parts, 19 and 213, that added together give a palindrome (232).

The spelling of 19213 in words is "nineteen thousand, two hundred thirteen".