164728901 has 2 divisors, whose sum is σ = 164728902. Its totient is φ = 164728900.

The previous prime is 164728897. The next prime is 164728913. The reversal of 164728901 is 109827461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159415876 + 5313025 = 12626^2 + 2305^2 .

It is a cyclic number.

It is not a de Polignac number, because 164728901 - 2² = 164728897 is a prime.

It is a super-3 number, since 3×164728901³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164728931) 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, 82364450 + 82364451.

It is an arithmetic number, because the mean of its divisors is an integer number (82364451).

Almost surely, 2^164728901 is an apocalyptic number.

It is an amenable number.

164728901 is a deficient number, since it is larger than the sum of its proper divisors (1).

164728901 is an equidigital number, since it uses as much as digits as its factorization.

164728901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 164728901 is about 12834.6757263283. The cubic root of 164728901 is about 548.1801015731.

The spelling of 164728901 in words is "one hundred sixty-four million, seven hundred twenty-eight thousand, nine hundred one".