164388013 has 2 divisors, whose sum is σ = 164388014. Its totient is φ = 164388012.

The previous prime is 164387987. The next prime is 164388041. The reversal of 164388013 is 310883461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144913444 + 19474569 = 12038^2 + 4413^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164388013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164388013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164388313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82194006 + 82194007.

It is an arithmetic number, because the mean of its divisors is an integer number (82194007).

Almost surely, 2^164388013 is an apocalyptic number.

It is an amenable number.

164388013 is a deficient number, since it is larger than the sum of its proper divisors (1).

164388013 is an equidigital number, since it uses as much as digits as its factorization.

164388013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 164388013 is about 12821.3888873242. The cubic root of 164388013 is about 547.8017080094.

The spelling of 164388013 in words is "one hundred sixty-four million, three hundred eighty-eight thousand, thirteen".