164431009 has 2 divisors, whose sum is σ = 164431010. Its totient is φ = 164431008.

The previous prime is 164430991. The next prime is 164431013. The reversal of 164431009 is 900134461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156950784 + 7480225 = 12528^2 + 2735^2 .

It is a cyclic number.

It is not a de Polignac number, because 164431009 - 2¹¹ = 164428961 is a prime.

It is a super-3 number, since 3×164431009³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164431049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82215504 + 82215505.

It is an arithmetic number, because the mean of its divisors is an integer number (82215505).

Almost surely, 2^164431009 is an apocalyptic number.

It is an amenable number.

164431009 is a deficient number, since it is larger than the sum of its proper divisors (1).

164431009 is an equidigital number, since it uses as much as digits as its factorization.

164431009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 164431009 is about 12823.0655071243. The cubic root of 164431009 is about 547.8494633752.

It can be divided in two parts, 16 and 4431009, that added together give a square (4431025 = 2105²).

The spelling of 164431009 in words is "one hundred sixty-four million, four hundred thirty-one thousand, nine".