168013 has 2 divisors, whose sum is σ = 168014. Its totient is φ = 168012.

The previous prime is 167987. The next prime is 168023. The reversal of 168013 is 310861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157609 + 10404 = 397^2 + 102^2 .

It is an emirp because it is prime and its reverse (310861) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-168013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (168023) 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, 84006 + 84007.

It is an arithmetic number, because the mean of its divisors is an integer number (84007).

2¹⁶⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

168013 is a deficient number, since it is larger than the sum of its proper divisors (1).

168013 is an equidigital number, since it uses as much as digits as its factorization.

168013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 168013 is about 409.8938887078. The cubic root of 168013 is about 55.1799067454.

Adding to 168013 its reverse (310861), we get a palindrome (478874).

It can be divided in two parts, 16801 and 3, that multiplied together give a triangular number (50403 = T₃₁₇).

The spelling of 168013 in words is "one hundred sixty-eight thousand, thirteen".