164767129 has 2 divisors, whose sum is σ = 164767130. Its totient is φ = 164767128.

The previous prime is 164767087. The next prime is 164767153. The reversal of 164767129 is 921767461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161798400 + 2968729 = 12720^2 + 1723^2 .

It is an emirp because it is prime and its reverse (921767461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164767129 - 2⁹ = 164766617 is a prime.

It is not a weakly prime, because it can be changed into another prime (164767199) 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, 82383564 + 82383565.

It is an arithmetic number, because the mean of its divisors is an integer number (82383565).

Almost surely, 2^164767129 is an apocalyptic number.

It is an amenable number.

164767129 is a deficient number, since it is larger than the sum of its proper divisors (1).

164767129 is an equidigital number, since it uses as much as digits as its factorization.

164767129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 43.

The square root of 164767129 is about 12836.1648867565. The cubic root of 164767129 is about 548.2225029731. Note that the first 3 decimals are identical.

The spelling of 164767129 in words is "one hundred sixty-four million, seven hundred sixty-seven thousand, one hundred twenty-nine".