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164309 is a prime number
BaseRepresentation
bin101000000111010101
322100101112
4220013111
520224214
63304405
71253015
oct500725
9270345
10164309
111024a2
127b105
1359a32
1443c45
1533a3e
hex281d5

164309 has 2 divisors, whose sum is σ = 164310. Its totient is φ = 164308.

The previous prime is 164299. The next prime is 164321. The reversal of 164309 is 903461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 77284 = 295^2 + 278^2 .

It is a cyclic number.

It is not a de Polignac number, because 164309 - 216 = 98773 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82154 + 82155.

It is an arithmetic number, because the mean of its divisors is an integer number (82155).

2164309 is an apocalyptic number.

It is an amenable number.

164309 is a deficient number, since it is larger than the sum of its proper divisors (1).

164309 is an equidigital number, since it uses as much as digits as its factorization.

164309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 164309 is about 405.3504656467. The cubic root of 164309 is about 54.7713927090.

The spelling of 164309 in words is "one hundred sixty-four thousand, three hundred nine".