164409121 has 2 divisors, whose sum is σ = 164409122. Its totient is φ = 164409120.

The previous prime is 164409103. The next prime is 164409131. The reversal of 164409121 is 121904461.

164409121 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., 160149025 + 4260096 = 12655^2 + 2064^2 .

It is a cyclic number.

It is not a de Polignac number, because 164409121 - 2¹¹ = 164407073 is a prime.

It is a super-3 number, since 3×164409121³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164409121.

It is not a weakly prime, because it can be changed into another prime (164409101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82204560 + 82204561.

It is an arithmetic number, because the mean of its divisors is an integer number (82204561).

Almost surely, 2^164409121 is an apocalyptic number.

It is an amenable number.

164409121 is a deficient number, since it is larger than the sum of its proper divisors (1).

164409121 is an equidigital number, since it uses as much as digits as its factorization.

164409121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 164409121 is about 12822.2120166530. The cubic root of 164409121 is about 547.8251535624.

The spelling of 164409121 in words is "one hundred sixty-four million, four hundred nine thousand, one hundred twenty-one".