213193 has 2 divisors, whose sum is σ = 213194. Its totient is φ = 213192.

The previous prime is 213181. The next prime is 213203. The reversal of 213193 is 391312.

It is the 189-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 26569 = 432^2 + 163^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213193.

It is not a weakly prime, because it can be changed into another prime (213133) 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, 106596 + 106597.

It is an arithmetic number, because the mean of its divisors is an integer number (106597).

2²¹³¹⁹³ is an apocalyptic number.

It is an amenable number.

213193 is a deficient number, since it is larger than the sum of its proper divisors (1).

213193 is an equidigital number, since it uses as much as digits as its factorization.

213193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 213193 is about 461.7282750710. The cubic root of 213193 is about 59.7389585288.

It can be divided in two parts, 213 and 193, that added together give a triangular number (406 = T₂₈).

The spelling of 213193 in words is "two hundred thirteen thousand, one hundred ninety-three".