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61365641 is a prime number
BaseRepresentation
bin1110101000010…
…1110110001001
311021110200211112
43222011312021
5111202200031
610031140105
71343412401
oct352056611
9137420745
1061365641
1131703a07
1218674635
13c93773c
148215801
1555c262b
hex3a85d89

61365641 has 2 divisors, whose sum is σ = 61365642. Its totient is φ = 61365640.

The previous prime is 61365607. The next prime is 61365683. The reversal of 61365641 is 14656316.

61365641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56190016 + 5175625 = 7496^2 + 2275^2 .

It is a cyclic number.

It is not a de Polignac number, because 61365641 - 210 = 61364617 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 = 61365598 and 61365607.

It is not a weakly prime, because it can be changed into another prime (61367641) 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, 30682820 + 30682821.

It is an arithmetic number, because the mean of its divisors is an integer number (30682821).

Almost surely, 261365641 is an apocalyptic number.

It is an amenable number.

61365641 is a deficient number, since it is larger than the sum of its proper divisors (1).

61365641 is an equidigital number, since it uses as much as digits as its factorization.

61365641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 32.

The square root of 61365641 is about 7833.6224698411. The cubic root of 61365641 is about 394.4346792060.

The spelling of 61365641 in words is "sixty-one million, three hundred sixty-five thousand, six hundred forty-one".