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11777 is a prime number
BaseRepresentation
bin10111000000001
3121011012
42320001
5334102
6130305
746223
oct27001
917135
1011777
118937
126995
13548c
144413
153752
hex2e01

11777 has 2 divisors, whose sum is σ = 11778. Its totient is φ = 11776.

The previous prime is 11743. The next prime is 11779. The reversal of 11777 is 77711.

It can be divided in two parts, 117 and 77, that multiplied together give a palindrome (9009).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 961 = 104^2 + 31^2 .

It is an emirp because it is prime and its reverse (77711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11777 - 210 = 10753 is a prime.

Together with 11779, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11777.

It is not a weakly prime, because it can be changed into another prime (11779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5888 + 5889.

It is an arithmetic number, because the mean of its divisors is an integer number (5889).

It is a Proth number, since it is equal to 23 ⋅ 29 + 1 and 23 < 29.

211777 is an apocalyptic number.

It is an amenable number.

11777 is a deficient number, since it is larger than the sum of its proper divisors (1).

11777 is an equidigital number, since it uses as much as digits as its factorization.

11777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 343, while the sum is 23.

The square root of 11777 is about 108.5218871933. The cubic root of 11777 is about 22.7515798122.

The spelling of 11777 in words is "eleven thousand, seven hundred seventy-seven", and thus it is an iban number.