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65005741 is a prime number
BaseRepresentation
bin1111011111111…
…0100010101101
311112022122010001
43313332202231
5113120140431
610241144301
71416353053
oct367764255
9145278101
1065005741
113376a859
121992b091
1310610548
1488c21d3
155a90e61
hex3dfe8ad

65005741 has 2 divisors, whose sum is σ = 65005742. Its totient is φ = 65005740.

The previous prime is 65005727. The next prime is 65005757. The reversal of 65005741 is 14750056.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57002500 + 8003241 = 7550^2 + 2829^2 .

It is a cyclic number.

It is not a de Polignac number, because 65005741 - 223 = 56617133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (60005741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32502870 + 32502871.

It is an arithmetic number, because the mean of its divisors is an integer number (32502871).

Almost surely, 265005741 is an apocalyptic number.

It is an amenable number.

65005741 is a deficient number, since it is larger than the sum of its proper divisors (1).

65005741 is an equidigital number, since it uses as much as digits as its factorization.

65005741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 65005741 is about 8062.6137821429. The cubic root of 65005741 is about 402.0844129394.

Adding to 65005741 its reverse (14750056), we get a palindrome (79755797).

The spelling of 65005741 in words is "sixty-five million, five thousand, seven hundred forty-one".