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65761 is a prime number
BaseRepresentation
bin10000000011100001
310100012121
4100003201
54101021
61224241
7362503
oct200341
9110177
1065761
1145453
1232081
1323c17
1419d73
1514741
hex100e1

65761 has 2 divisors, whose sum is σ = 65762. Its totient is φ = 65760.

The previous prime is 65731. The next prime is 65777. The reversal of 65761 is 16756.

65761 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 225 = 256^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 65761 - 25 = 65729 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65701) 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, 32880 + 32881.

It is an arithmetic number, because the mean of its divisors is an integer number (32881).

265761 is an apocalyptic number.

It is an amenable number.

65761 is a deficient number, since it is larger than the sum of its proper divisors (1).

65761 is an equidigital number, since it uses as much as digits as its factorization.

65761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 25.

The square root of 65761 is about 256.4390765855. The cubic root of 65761 is about 40.3635605813.

The spelling of 65761 in words is "sixty-five thousand, seven hundred sixty-one".