164407073 has 2 divisors, whose sum is σ = 164407074. Its totient is φ = 164407072.

The previous prime is 164407063. The next prime is 164407091. The reversal of 164407073 is 370704461.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144408289 + 19998784 = 12017^2 + 4472^2 .

It is a cyclic number.

It is not a de Polignac number, because 164407073 - 2¹⁰ = 164406049 is a prime.

It is a super-3 number, since 3×164407073³ (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164407063) 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, 82203536 + 82203537.

It is an arithmetic number, because the mean of its divisors is an integer number (82203537).

Almost surely, 2^164407073 is an apocalyptic number.

It is an amenable number.

164407073 is a deficient number, since it is larger than the sum of its proper divisors (1).

164407073 is an equidigital number, since it uses as much as digits as its factorization.

164407073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 164407073 is about 12822.1321549889. The cubic root of 164407073 is about 547.8228788496.

The spelling of 164407073 in words is "one hundred sixty-four million, four hundred seven thousand, seventy-three".