164364309 has 10 divisors (see below), whose sum is σ = 245531990. Its totient is φ = 109576152.

The previous prime is 164364293. The next prime is 164364337. The reversal of 164364309 is 903463461.

164364309 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 643 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114704100 + 49660209 = 10710^2 + 7047^2 .

It is not a de Polignac number, because 164364309 - 2⁴ = 164364293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164364209) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1014514 + ... + 1014675.

It is an arithmetic number, because the mean of its divisors is an integer number (24553199).

Almost surely, 2^164364309 is an apocalyptic number.

It is an amenable number.

164364309 is a deficient number, since it is larger than the sum of its proper divisors (81167681).

164364309 is an equidigital number, since it uses as much as digits as its factorization.

164364309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029201 (or 2029192 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 164364309 is about 12820.4644611652. The cubic root of 164364309 is about 547.7753765764.

The spelling of 164364309 in words is "one hundred sixty-four million, three hundred sixty-four thousand, three hundred nine".