213853361 has 2 divisors, whose sum is σ = 213853362. Its totient is φ = 213853360.

The previous prime is 213853351. The next prime is 213853363. The reversal of 213853361 is 163358312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124456336 + 89397025 = 11156^2 + 9455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213853361 is a prime.

Together with 213853363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213853363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106926680 + 106926681.

It is an arithmetic number, because the mean of its divisors is an integer number (106926681).

Almost surely, 2^213853361 is an apocalyptic number.

It is an amenable number.

213853361 is a deficient number, since it is larger than the sum of its proper divisors (1).

213853361 is an equidigital number, since it uses as much as digits as its factorization.

213853361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 32.

The square root of 213853361 is about 14623.7259616009. The cubic root of 213853361 is about 598.0057502532.

The spelling of 213853361 in words is "two hundred thirteen million, eight hundred fifty-three thousand, three hundred sixty-one".