Search a number
-
+
47713 is a prime number
BaseRepresentation
bin1011101001100001
32102110011
423221201
53011323
61004521
7256051
oct135141
972404
1047713
1132936
1223741
1318943
1413561
15e20d
hexba61

47713 has 2 divisors, whose sum is σ = 47714. Its totient is φ = 47712.

The previous prime is 47711. The next prime is 47717. The reversal of 47713 is 31774.

47713 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., 31329 + 16384 = 177^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 47713 - 21 = 47711 is a prime.

Together with 47711, it forms a pair of twin primes.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (47711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23856 + 23857.

It is an arithmetic number, because the mean of its divisors is an integer number (23857).

247713 is an apocalyptic number.

It is an amenable number.

47713 is a deficient number, since it is larger than the sum of its proper divisors (1).

47713 is an equidigital number, since it uses as much as digits as its factorization.

47713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 588, while the sum is 22.

The square root of 47713 is about 218.4330561064. The cubic root of 47713 is about 36.2698345674.

It can be divided in two parts, 4771 and 3, that added together give a palindrome (4774).

The spelling of 47713 in words is "forty-seven thousand, seven hundred thirteen".