164066067 has 24 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 99432360.

The previous prime is 164066047. The next prime is 164066141. The reversal of 164066067 is 760660461.

164066067 is a `hidden beast` number, since 1 + 6 + 40 + 6 + 606 + 7 = 666.

It is not a de Polignac number, because 164066067 - 2⁶ = 164066003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164066047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28017 + ... + 33362.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2^164066067 is an apocalyptic number.

164066067 is a deficient number, since it is larger than the sum of its proper divisors (104041773).

164066067 is an equidigital number, since it uses as much as digits as its factorization.

164066067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61405 (or 61393 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 164066067 is about 12808.8276981151. The cubic root of 164066067 is about 547.4438598845.

The spelling of 164066067 in words is "one hundred sixty-four million, sixty-six thousand, sixty-seven".