164004329 has 8 divisors (see below), whose sum is σ = 171512640. Its totient is φ = 156527536.

The previous prime is 164004319. The next prime is 164004341. The reversal of 164004329 is 923400461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164004329 - 2⁸ = 164004073 is a prime.

It is a Duffinian number.

164004329 is a modest number, since divided by 4329 gives 164 as remainder.

It is not an unprimeable number, because it can be changed into a prime (164004319) 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 7 ways as a sum of consecutive naturals, for example, 3107 + ... + 18375.

It is an arithmetic number, because the mean of its divisors is an integer number (21439080).

Almost surely, 2^164004329 is an apocalyptic number.

It is an amenable number.

164004329 is a deficient number, since it is larger than the sum of its proper divisors (7508311).

164004329 is a wasteful number, since it uses less digits than its factorization.

164004329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15759.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 164004329 is about 12806.4174928041. The cubic root of 164004329 is about 547.3751836292.

The spelling of 164004329 in words is "one hundred sixty-four million, four thousand, three hundred twenty-nine".