319008161 has 2 divisors, whose sum is σ = 319008162. Its totient is φ = 319008160.

The previous prime is 319008047. The next prime is 319008163. The reversal of 319008161 is 161800913.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318979600 + 28561 = 17860^2 + 169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-319008161 is a prime.

Together with 319008163, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_17224616 and since 319008161 and 17224616 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (319008163) 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, 159504080 + 159504081.

It is an arithmetic number, because the mean of its divisors is an integer number (159504081).

Almost surely, 2^319008161 is an apocalyptic number.

It is an amenable number.

319008161 is a deficient number, since it is larger than the sum of its proper divisors (1).

319008161 is an equidigital number, since it uses as much as digits as its factorization.

319008161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 319008161 is about 17860.7995621697. The cubic root of 319008161 is about 683.2829719511.

The spelling of 319008161 in words is "three hundred nineteen million, eight thousand, one hundred sixty-one".