164434561 has 2 divisors, whose sum is σ = 164434562. Its totient is φ = 164434560.

The previous prime is 164434507. The next prime is 164434573. The reversal of 164434561 is 165434461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145564225 + 18870336 = 12065^2 + 4344^2 .

It is a cyclic number.

It is not a de Polignac number, because 164434561 - 2¹⁹ = 163910273 is a prime.

It is a super-3 number, since 3×164434561³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164434961) 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, 82217280 + 82217281.

It is an arithmetic number, because the mean of its divisors is an integer number (82217281).

Almost surely, 2^164434561 is an apocalyptic number.

It is an amenable number.

164434561 is a deficient number, since it is larger than the sum of its proper divisors (1).

164434561 is an equidigital number, since it uses as much as digits as its factorization.

164434561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34560, while the sum is 34.

The square root of 164434561 is about 12823.2040067995. The cubic root of 164434561 is about 547.8534081852.

The spelling of 164434561 in words is "one hundred sixty-four million, four hundred thirty-four thousand, five hundred sixty-one".