213189201 has 27 divisors (see below), whose sum is σ = 320233563. Its totient is φ = 136665360.

The previous prime is 213189181. The next prime is 213189203. The reversal of 213189201 is 102981312.

The square root of 213189201 is 14601.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 62489025 + 150700176 = 7905^2 + 12276^2 .

It is not a de Polignac number, because 213189201 - 2⁵ = 213189169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213189203) 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 in 26 ways as a sum of consecutive naturals, for example, 1357815 + ... + 1357971.

Almost surely, 2^213189201 is an apocalyptic number.

213189201 is the 14601-st square number.

213189201 is the 7301-st centered octagonal number.

It is an amenable number.

213189201 is a deficient number, since it is larger than the sum of its proper divisors (107044362).

213189201 is an equidigital number, since it uses as much as digits as its factorization.

213189201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 213189201 is about 597.3860368656.

The spelling of 213189201 in words is "two hundred thirteen million, one hundred eighty-nine thousand, two hundred one".