164512129 has 2 divisors, whose sum is σ = 164512130. Its totient is φ = 164512128.

The previous prime is 164512093. The next prime is 164512141. The reversal of 164512129 is 921215461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102921025 + 61591104 = 10145^2 + 7848^2 .

It is an emirp because it is prime and its reverse (921215461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164512129 - 2¹⁷ = 164381057 is a prime.

It is a super-4 number, since 4×164512129⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164512129.

It is not a weakly prime, because it can be changed into another prime (164512189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82256064 + 82256065.

It is an arithmetic number, because the mean of its divisors is an integer number (82256065).

Almost surely, 2^164512129 is an apocalyptic number.

It is an amenable number.

164512129 is a deficient number, since it is larger than the sum of its proper divisors (1).

164512129 is an equidigital number, since it uses as much as digits as its factorization.

164512129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 31.

The square root of 164512129 is about 12826.2281673140. The cubic root of 164512129 is about 547.9395401446.

The spelling of 164512129 in words is "one hundred sixty-four million, five hundred twelve thousand, one hundred twenty-nine".