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213289 is a prime number
BaseRepresentation
bin110100000100101001
3101211120121
4310010221
523311124
64323241
71545556
oct640451
9354517
10213289
1113627a
12a3521
137610b
1457a2d
15432e4
hex34129

213289 has 2 divisors, whose sum is σ = 213290. Its totient is φ = 213288.

The previous prime is 213287. The next prime is 213307. The reversal of 213289 is 982312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 102400 = 333^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 213289 - 21 = 213287 is a prime.

Together with 213287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213281) 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, 106644 + 106645.

It is an arithmetic number, because the mean of its divisors is an integer number (106645).

2213289 is an apocalyptic number.

It is an amenable number.

213289 is a deficient number, since it is larger than the sum of its proper divisors (1).

213289 is an equidigital number, since it uses as much as digits as its factorization.

213289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

The square root of 213289 is about 461.8322206170. The cubic root of 213289 is about 59.7479239255.

The spelling of 213289 in words is "two hundred thirteen thousand, two hundred eighty-nine".