164205341 has 2 divisors, whose sum is σ = 164205342. Its totient is φ = 164205340.

The previous prime is 164205299. The next prime is 164205343. The reversal of 164205341 is 143502461.

164205341 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., 163302841 + 902500 = 12779^2 + 950^2 .

It is a cyclic number.

It is not a de Polignac number, because 164205341 - 2¹⁴ = 164188957 is a prime.

Together with 164205343, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164205341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164205343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82102670 + 82102671.

It is an arithmetic number, because the mean of its divisors is an integer number (82102671).

Almost surely, 2^164205341 is an apocalyptic number.

It is an amenable number.

164205341 is a deficient number, since it is larger than the sum of its proper divisors (1).

164205341 is an equidigital number, since it uses as much as digits as its factorization.

164205341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 164205341 is about 12814.2631859971. The cubic root of 164205341 is about 547.5987225632.

Subtracting from 164205341 its product of nonzero digits (2880), we obtain a palindrome (164202461).

The spelling of 164205341 in words is "one hundred sixty-four million, two hundred five thousand, three hundred forty-one".