164764729 has 2 divisors, whose sum is σ = 164764730. Its totient is φ = 164764728.

The previous prime is 164764703. The next prime is 164764739. The reversal of 164764729 is 927467461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161874729 + 2890000 = 12723^2 + 1700^2 .

It is an emirp because it is prime and its reverse (927467461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164764729 - 2¹¹ = 164762681 is a prime.

It is not a weakly prime, because it can be changed into another prime (164764739) 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, 82382364 + 82382365.

It is an arithmetic number, because the mean of its divisors is an integer number (82382365).

Almost surely, 2^164764729 is an apocalyptic number.

It is an amenable number.

164764729 is a deficient number, since it is larger than the sum of its proper divisors (1).

164764729 is an equidigital number, since it uses as much as digits as its factorization.

164764729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 46.

The square root of 164764729 is about 12836.0714005493. The cubic root of 164764729 is about 548.2198411550.

The spelling of 164764729 in words is "one hundred sixty-four million, seven hundred sixty-four thousand, seven hundred twenty-nine".