164032009 has 2 divisors, whose sum is σ = 164032010. Its totient is φ = 164032008.

The previous prime is 164031991. The next prime is 164032019. The reversal of 164032009 is 900230461.

164032009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138579984 + 25452025 = 11772^2 + 5045^2 .

It is a cyclic number.

It is not a de Polignac number, because 164032009 - 2¹¹ = 164029961 is a prime.

It is a super-3 number, since 3×164032009³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164032019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82016004 + 82016005.

It is an arithmetic number, because the mean of its divisors is an integer number (82016005).

Almost surely, 2^164032009 is an apocalyptic number.

It is an amenable number.

164032009 is a deficient number, since it is larger than the sum of its proper divisors (1).

164032009 is an equidigital number, since it uses as much as digits as its factorization.

164032009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 164032009 is about 12807.4981553776. The cubic root of 164032009 is about 547.4059765008.

The spelling of 164032009 in words is "one hundred sixty-four million, thirty-two thousand, nine".