164031329 has 16 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 127588560.

The previous prime is 164031319. The next prime is 164031341. The reversal of 164031329 is 923130461.

It is not a de Polignac number, because 164031329 - 2²⁰ = 162982753 is a prime.

It is a pancake number, because a pancake can be divided into 164031329 parts by 18112 straight cuts.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164031319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51032 + ... + 54150.

It is an arithmetic number, because the mean of its divisors is an integer number (12804480).

Almost surely, 2^164031329 is an apocalyptic number.

It is an amenable number.

164031329 is a deficient number, since it is larger than the sum of its proper divisors (40840351).

164031329 is a wasteful number, since it uses less digits than its factorization.

164031329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 164031329 is about 12807.4716084011. The cubic root of 164031329 is about 547.4052200701.

The spelling of 164031329 in words is "one hundred sixty-four million, thirty-one thousand, three hundred twenty-nine".