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165313 is a prime number
BaseRepresentation
bin101000010111000001
322101202201
4220113001
520242223
63313201
71255651
oct502701
9271681
10165313
11103225
127b801
135a325
1444361
1533ead
hex285c1

165313 has 2 divisors, whose sum is σ = 165314. Its totient is φ = 165312.

The previous prime is 165311. The next prime is 165317. The reversal of 165313 is 313561.

Adding to 165313 its reverse (313561), we get a palindrome (478874).

It can be divided in two parts, 16 and 5313, that added together give a square (5329 = 732).

165313 = 2872 + 2882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 82369 = 288^2 + 287^2 .

It is an emirp because it is prime and its reverse (313561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165313 - 21 = 165311 is a prime.

Together with 165311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (165311) 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, 82656 + 82657.

It is an arithmetic number, because the mean of its divisors is an integer number (82657).

2165313 is an apocalyptic number.

165313 is the 288-th centered square number.

It is an amenable number.

165313 is a deficient number, since it is larger than the sum of its proper divisors (1).

165313 is an equidigital number, since it uses as much as digits as its factorization.

165313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 19.

The square root of 165313 is about 406.5870140573. The cubic root of 165313 is about 54.8827253234.

The spelling of 165313 in words is "one hundred sixty-five thousand, three hundred thirteen".