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36668729 is a prime number
BaseRepresentation
bin1000101111100…
…0010100111001
32112222222001002
42023320110321
533341344404
63345534345
7623451626
oct213702471
975888032
1036668729
1119775839
12103443b5
13779b496
144c2734d
153344c1e
hex22f8539

36668729 has 2 divisors, whose sum is σ = 36668730. Its totient is φ = 36668728.

The previous prime is 36668713. The next prime is 36668741. The reversal of 36668729 is 92786663.

36668729 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., 36626704 + 42025 = 6052^2 + 205^2 .

It is a cyclic number.

It is not a de Polignac number, because 36668729 - 24 = 36668713 is a prime.

It is not a weakly prime, because it can be changed into another prime (36668759) 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, 18334364 + 18334365.

It is an arithmetic number, because the mean of its divisors is an integer number (18334365).

Almost surely, 236668729 is an apocalyptic number.

It is an amenable number.

36668729 is a deficient number, since it is larger than the sum of its proper divisors (1).

36668729 is an equidigital number, since it uses as much as digits as its factorization.

36668729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 653184, while the sum is 47.

The square root of 36668729 is about 6055.4709973709. The cubic root of 36668729 is about 332.2247262809.

The spelling of 36668729 in words is "thirty-six million, six hundred sixty-eight thousand, seven hundred twenty-nine".