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.

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.

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).

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