213804161 has 2 divisors, whose sum is σ = 213804162. Its totient is φ = 213804160.

The previous prime is 213804109. The next prime is 213804163. The reversal of 213804161 is 161408312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182790400 + 31013761 = 13520^2 + 5569^2 .

It is a cyclic number.

It is not a de Polignac number, because 213804161 - 2¹⁰ = 213803137 is a prime.

Together with 213804163, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213804161.

It is not a weakly prime, because it can be changed into another prime (213804163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106902080 + 106902081.

It is an arithmetic number, because the mean of its divisors is an integer number (106902081).

Almost surely, 2^213804161 is an apocalyptic number.

It is an amenable number.

213804161 is a deficient number, since it is larger than the sum of its proper divisors (1).

213804161 is an equidigital number, since it uses as much as digits as its factorization.

213804161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 213804161 is about 14622.0436670118. The cubic root of 213804161 is about 597.9598868333.

The spelling of 213804161 in words is "two hundred thirteen million, eight hundred four thousand, one hundred sixty-one".