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163309 is a prime number
BaseRepresentation
bin100111110111101101
322022000111
4213313231
520211214
63300021
71250056
oct476755
9268014
10163309
11101773
127a611
1359443
144372d
15335c4
hex27ded

163309 has 2 divisors, whose sum is σ = 163310. Its totient is φ = 163308.

The previous prime is 163307. The next prime is 163321. The reversal of 163309 is 903361.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162409 + 900 = 403^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 163309 - 21 = 163307 is a prime.

Together with 163307, it forms a pair of twin primes.

It is a Chen prime.

163309 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 163309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (163307) 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, 81654 + 81655.

It is an arithmetic number, because the mean of its divisors is an integer number (81655).

2163309 is an apocalyptic number.

It is an amenable number.

163309 is a deficient number, since it is larger than the sum of its proper divisors (1).

163309 is an equidigital number, since it uses as much as digits as its factorization.

163309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 163309 is about 404.1150826188. The cubic root of 163309 is about 54.6600519130.

The spelling of 163309 in words is "one hundred sixty-three thousand, three hundred nine".