164084135329 has 3 divisors (see below), whose sum is σ = 164084540403. Its totient is φ = 164083730256.

The previous prime is 164084135311. The next prime is 164084135339. The reversal of 164084135329 is 923531480461.

It is a happy number.

The square root of 164084135329 is 405073.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 34086390625 + 129997744704 = 184625^2 + 360552^2 .

It is not a de Polignac number, because 164084135329 - 2¹¹ = 164084133281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164084135339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 202537 + ... + 607609.

It is an arithmetic number, because the mean of its divisors is an integer number (54694846801).

Almost surely, 2^164084135329 is an apocalyptic number.

164084135329 is the 405073-rd square number.

164084135329 is the 202537-th centered octagonal number.

It is an amenable number.

164084135329 is a deficient number, since it is larger than the sum of its proper divisors (405074).

164084135329 is an frugal number, since it uses more digits than its factorization.

164084135329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810146 (or 405073 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 164084135329 in words is "one hundred sixty-four billion, eighty-four million, one hundred thirty-five thousand, three hundred twenty-nine".