164077313 has 2 divisors, whose sum is σ = 164077314. Its totient is φ = 164077312.

The previous prime is 164077297. The next prime is 164077337. The reversal of 164077313 is 313770461.

164077313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97377424 + 66699889 = 9868^2 + 8167^2 .

It is a cyclic number.

It is not a de Polignac number, because 164077313 - 2⁴ = 164077297 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_9190247 and since 164077313 and 9190247 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164077313.

It is not a weakly prime, because it can be changed into another prime (164077393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82038656 + 82038657.

It is an arithmetic number, because the mean of its divisors is an integer number (82038657).

Almost surely, 2^164077313 is an apocalyptic number.

It is an amenable number.

164077313 is a deficient number, since it is larger than the sum of its proper divisors (1).

164077313 is an equidigital number, since it uses as much as digits as its factorization.

164077313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 164077313 is about 12809.2666847092. The cubic root of 164077313 is about 547.4563678802.

The spelling of 164077313 in words is "one hundred sixty-four million, seventy-seven thousand, three hundred thirteen".