164351009 has 2 divisors, whose sum is σ = 164351010. Its totient is φ = 164351008.

The previous prime is 164350997. The next prime is 164351027. The reversal of 164351009 is 900153461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143328784 + 21022225 = 11972^2 + 4585^2 .

It is a cyclic number.

It is not a de Polignac number, because 164351009 - 2²⁴ = 147573793 is a prime.

It is a super-2 number, since 2×164351009² = 54022508318636162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164351059) 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 as a sum of consecutive naturals, namely, 82175504 + 82175505.

It is an arithmetic number, because the mean of its divisors is an integer number (82175505).

Almost surely, 2^164351009 is an apocalyptic number.

It is an amenable number.

164351009 is a deficient number, since it is larger than the sum of its proper divisors (1).

164351009 is an equidigital number, since it uses as much as digits as its factorization.

164351009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 164351009 is about 12819.9457487152. The cubic root of 164351009 is about 547.7606012498.

The spelling of 164351009 in words is "one hundred sixty-four million, three hundred fifty-one thousand, nine".