164205241 has 2 divisors, whose sum is σ = 164205242. Its totient is φ = 164205240.

The previous prime is 164205203. The next prime is 164205259. The reversal of 164205241 is 142502461.

It is a happy number.

164205241 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., 158659216 + 5546025 = 12596^2 + 2355^2 .

It is an emirp because it is prime and its reverse (142502461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164205241 - 2¹⁵ = 164172473 is a prime.

It is a super-2 number, since 2×164205241² = 53926722343736162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (164205281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82102620 + 82102621.

It is an arithmetic number, because the mean of its divisors is an integer number (82102621).

Almost surely, 2^164205241 is an apocalyptic number.

It is an amenable number.

164205241 is a deficient number, since it is larger than the sum of its proper divisors (1).

164205241 is an equidigital number, since it uses as much as digits as its factorization.

164205241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 164205241 is about 12814.2592840944. The cubic root of 164205241 is about 547.5986114018.

The spelling of 164205241 in words is "one hundred sixty-four million, two hundred five thousand, two hundred forty-one".