164201 has 2 divisors, whose sum is σ = 164202. Its totient is φ = 164200.

The previous prime is 164191. The next prime is 164209. The reversal of 164201 is 102461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133225 + 30976 = 365^2 + 176^2 .

It is an emirp because it is prime and its reverse (102461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164201 is a prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (164209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82100 + 82101.

It is an arithmetic number, because the mean of its divisors is an integer number (82101).

2¹⁶⁴²⁰¹ is an apocalyptic number.

It is an amenable number.

164201 is a deficient number, since it is larger than the sum of its proper divisors (1).

164201 is an equidigital number, since it uses as much as digits as its factorization.

164201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 164201 is about 405.2172256951. The cubic root of 164201 is about 54.7593897006.

Adding to 164201 its reverse (102461), we get a palindrome (266662).

The spelling of 164201 in words is "one hundred sixty-four thousand, two hundred one".