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213209 is a prime number
BaseRepresentation
bin110100000011011001
3101211110122
4310003121
523310314
64323025
71545413
oct640331
9354418
10213209
11136207
12a3475
1376079
14579b3
154328e
hex340d9

213209 has 2 divisors, whose sum is σ = 213210. Its totient is φ = 213208.

The previous prime is 213203. The next prime is 213217. The reversal of 213209 is 902312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 105625 = 328^2 + 325^2 .

It is a cyclic number.

It is not a de Polignac number, because 213209 - 24 = 213193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106604 + 106605.

It is an arithmetic number, because the mean of its divisors is an integer number (106605).

2213209 is an apocalyptic number.

It is an amenable number.

213209 is a deficient number, since it is larger than the sum of its proper divisors (1).

213209 is an equidigital number, since it uses as much as digits as its factorization.

213209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 213209 is about 461.7456009536. The cubic root of 213209 is about 59.7404529485.

The spelling of 213209 in words is "two hundred thirteen thousand, two hundred nine".