Search a number
-
+
164209 is a prime number
BaseRepresentation
bin101000000101110001
322100020211
4220011301
520223314
63304121
71252513
oct500561
9270224
10164209
11102411
127b041
1359986
1443bb3
15339c4
hex28171

164209 has 2 divisors, whose sum is σ = 164210. Its totient is φ = 164208.

The previous prime is 164201. The next prime is 164231. The reversal of 164209 is 902461.

It can be divided in two parts, 164 and 209, that added together give a palindrome (373).

It is an a-pointer prime, because the next prime (164231) can be obtained adding 164209 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112225 + 51984 = 335^2 + 228^2 .

It is a cyclic number.

It is not a de Polignac number, because 164209 - 23 = 164201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164209.

It is not a weakly prime, because it can be changed into another prime (164201) 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, 82104 + 82105.

It is an arithmetic number, because the mean of its divisors is an integer number (82105).

2164209 is an apocalyptic number.

It is an amenable number.

164209 is a deficient number, since it is larger than the sum of its proper divisors (1).

164209 is an equidigital number, since it uses as much as digits as its factorization.

164209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 164209 is about 405.2270968235. The cubic root of 164209 is about 54.7602789928.

The spelling of 164209 in words is "one hundred sixty-four thousand, two hundred nine".