164467809 has 48 divisors (see below), whose sum is σ = 278104320. Its totient is φ = 92551680.

The previous prime is 164467801. The next prime is 164467859. The reversal of 164467809 is 908764461.

It is not a de Polignac number, because 164467809 - 2³ = 164467801 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (164467801) 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 in 47 ways as a sum of consecutive naturals, for example, 132339 + ... + 133575.

It is an arithmetic number, because the mean of its divisors is an integer number (5793840).

Almost surely, 2^164467809 is an apocalyptic number.

It is an amenable number.

164467809 is a deficient number, since it is larger than the sum of its proper divisors (113636511).

164467809 is a wasteful number, since it uses less digits than its factorization.

164467809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 164467809 is about 12824.5003411439. The cubic root of 164467809 is about 547.8903302744.

The spelling of 164467809 in words is "one hundred sixty-four million, four hundred sixty-seven thousand, eight hundred nine".