164064307 has 32 divisors (see below), whose sum is σ = 193019904. Its totient is φ = 138045600.

The previous prime is 164064289. The next prime is 164064311. The reversal of 164064307 is 703460461.

It is not a de Polignac number, because 164064307 - 2²³ = 155675699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (164064317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982338 + ... + 982504.

It is an arithmetic number, because the mean of its divisors is an integer number (6031872).

Almost surely, 2^164064307 is an apocalyptic number.

164064307 is a deficient number, since it is larger than the sum of its proper divisors (28955597).

164064307 is a wasteful number, since it uses less digits than its factorization.

164064307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 164064307 is about 12808.7589953125. The cubic root of 164064307 is about 547.4419023303.

The spelling of 164064307 in words is "one hundred sixty-four million, sixty-four thousand, three hundred seven".