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65938241 is a prime number
BaseRepresentation
bin1111101110001…
…0001101000001
311121002000021002
43323202031001
5113340010431
610313141345
71430315525
oct373421501
9147060232
1065938241
1134247416
121a0ba855
1310878b15
148a85d85
155bc73cb
hex3ee2341

65938241 has 2 divisors, whose sum is σ = 65938242. Its totient is φ = 65938240.

The previous prime is 65938211. The next prime is 65938247. The reversal of 65938241 is 14283956.

It is a happy number.

65938241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63936016 + 2002225 = 7996^2 + 1415^2 .

It is a cyclic number.

It is not a de Polignac number, because 65938241 - 214 = 65921857 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 65938195 and 65938204.

It is not a weakly prime, because it can be changed into another prime (65938247) 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, 32969120 + 32969121.

It is an arithmetic number, because the mean of its divisors is an integer number (32969121).

Almost surely, 265938241 is an apocalyptic number.

It is an amenable number.

65938241 is a deficient number, since it is larger than the sum of its proper divisors (1).

65938241 is an equidigital number, since it uses as much as digits as its factorization.

65938241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 38.

The square root of 65938241 is about 8120.2365113339. The cubic root of 65938241 is about 403.9979107332.

The spelling of 65938241 in words is "sixty-five million, nine hundred thirty-eight thousand, two hundred forty-one".