164009137 has 2 divisors, whose sum is σ = 164009138. Its totient is φ = 164009136.

The previous prime is 164009119. The next prime is 164009161. The reversal of 164009137 is 731900461.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146023056 + 17986081 = 12084^2 + 4241^2 .

It is an emirp because it is prime and its reverse (731900461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164009137 - 2¹⁵ = 163976369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164009099 and 164009108.

It is not a weakly prime, because it can be changed into another prime (164009117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82004568 + 82004569.

It is an arithmetic number, because the mean of its divisors is an integer number (82004569).

Almost surely, 2^164009137 is an apocalyptic number.

It is an amenable number.

164009137 is a deficient number, since it is larger than the sum of its proper divisors (1).

164009137 is an equidigital number, since it uses as much as digits as its factorization.

164009137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 164009137 is about 12806.6052098126. The cubic root of 164009137 is about 547.3805325818.

Adding to 164009137 its reverse (731900461), we get a palindrome (895909598).

The spelling of 164009137 in words is "one hundred sixty-four million, nine thousand, one hundred thirty-seven".