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11705201 is a prime number
BaseRepresentation
bin101100101001…
…101101110001
3211000200111222
4230221231301
510444031301
61054514425
7201330644
oct54515561
924020458
1011705201
116675322
123b05a15
13256aa71
1417a9a5b
15106331b
hexb29b71

11705201 has 2 divisors, whose sum is σ = 11705202. Its totient is φ = 11705200.

The previous prime is 11705179. The next prime is 11705203. The reversal of 11705201 is 10250711.

11705201 is digitally balanced in base 3, 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., 10394176 + 1311025 = 3224^2 + 1145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11705201 is a prime.

Together with 11705203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11705201.

It is not a weakly prime, because it can be changed into another prime (11705203) 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, 5852600 + 5852601.

It is an arithmetic number, because the mean of its divisors is an integer number (5852601).

Almost surely, 211705201 is an apocalyptic number.

It is an amenable number.

11705201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11705201 is an equidigital number, since it uses as much as digits as its factorization.

11705201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 11705201 is about 3421.2864539527. The cubic root of 11705201 is about 227.0525019743.

Adding to 11705201 its reverse (10250711), we get a palindrome (21955912).

The spelling of 11705201 in words is "eleven million, seven hundred five thousand, two hundred one".