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164441729 is a prime number
BaseRepresentation
bin10011100110100…
…10111010000001
3102110102111122102
421303102322001
5314044113404
624152320145
74034505644
oct1163227201
9373374572
10164441729
1184906561
12470a3055
13280b73ca
1417ba7a5b
15e68371e
hex9cd2e81

164441729 has 2 divisors, whose sum is σ = 164441730. Its totient is φ = 164441728.

The previous prime is 164441699. The next prime is 164441737. The reversal of 164441729 is 927144461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155127025 + 9314704 = 12455^2 + 3052^2 .

It is an emirp because it is prime and its reverse (927144461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164441729 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 164441692 and 164441701.

It is not a weakly prime, because it can be changed into another prime (164441779) 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, 82220864 + 82220865.

It is an arithmetic number, because the mean of its divisors is an integer number (82220865).

Almost surely, 2164441729 is an apocalyptic number.

It is an amenable number.

164441729 is a deficient number, since it is larger than the sum of its proper divisors (1).

164441729 is an equidigital number, since it uses as much as digits as its factorization.

164441729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 38.

The square root of 164441729 is about 12823.4834970846. The cubic root of 164441729 is about 547.8613687100.

The spelling of 164441729 in words is "one hundred sixty-four million, four hundred forty-one thousand, seven hundred twenty-nine".