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961729 is a prime number
BaseRepresentation
bin11101010110011000001
31210212020121
43222303001
5221233404
632340241
711113606
oct3526301
91725217
10961729
115a761a
123a4681
13278992
141b06ad
1513ee54
hexeacc1

961729 has 2 divisors, whose sum is σ = 961730. Its totient is φ = 961728.

The previous prime is 961703. The next prime is 961733. The reversal of 961729 is 927169.

961729 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., 859329 + 102400 = 927^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 961729 - 27 = 961601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 961694 and 961703.

It is not a weakly prime, because it can be changed into another prime (961739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480864 + 480865.

It is an arithmetic number, because the mean of its divisors is an integer number (480865).

2961729 is an apocalyptic number.

It is an amenable number.

961729 is a deficient number, since it is larger than the sum of its proper divisors (1).

961729 is an equidigital number, since it uses as much as digits as its factorization.

961729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6804, while the sum is 34.

The square root of 961729 is about 980.6778268116. The cubic root of 961729 is about 98.7076707969.

It can be divided in two parts, 961 and 729, that multiplied together give a square (700569 = 8372).

The spelling of 961729 in words is "nine hundred sixty-one thousand, seven hundred twenty-nine".