164320305 has 32 divisors (see below), whose sum is σ = 272501760. Its totient is φ = 84464640.

The previous prime is 164320297. The next prime is 164320309. The reversal of 164320305 is 503023461.

It is a happy number.

It is not a de Polignac number, because 164320305 - 2³ = 164320297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164320309) 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 31 ways as a sum of consecutive naturals, for example, 144981 + ... + 146109.

It is an arithmetic number, because the mean of its divisors is an integer number (8515680).

Almost surely, 2^164320305 is an apocalyptic number.

164320305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164320305 is a deficient number, since it is larger than the sum of its proper divisors (108181455).

164320305 is a wasteful number, since it uses less digits than its factorization.

164320305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 164320305 is about 12818.7481838126. The cubic root of 164320305 is about 547.7264883086.

Adding to 164320305 its reverse (503023461), we get a palindrome (667343766).

The spelling of 164320305 in words is "one hundred sixty-four million, three hundred twenty thousand, three hundred five".