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41729 is a prime number
BaseRepresentation
bin1010001100000001
32010020112
422030001
52313404
6521105
7232442
oct121401
963215
1041729
1129396
1220195
1315cbc
14112c9
15c56e
hexa301

41729 has 2 divisors, whose sum is σ = 41730. Its totient is φ = 41728.

The previous prime is 41719. The next prime is 41737. The reversal of 41729 is 92714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 16129 = 160^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 41729 - 212 = 37633 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (41719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20864 + 20865.

It is an arithmetic number, because the mean of its divisors is an integer number (20865).

It is a Proth number, since it is equal to 163 ⋅ 28 + 1 and 163 < 28.

241729 is an apocalyptic number.

It is an amenable number.

41729 is a deficient number, since it is larger than the sum of its proper divisors (1).

41729 is an equidigital number, since it uses as much as digits as its factorization.

41729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 41729 is about 204.2767730311. The cubic root of 41729 is about 34.6853429116.

The spelling of 41729 in words is "forty-one thousand, seven hundred twenty-nine".