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5713 = 29197
BaseRepresentation
bin1011001010001
321211121
41121101
5140323
642241
722441
oct13121
97747
105713
114324
123381
1327a6
142121
151a5d
hex1651

5713 has 4 divisors (see below), whose sum is σ = 5940. Its totient is φ = 5488.

The previous prime is 5711. The next prime is 5717. The reversal of 5713 is 3175.

Adding to 5713 its reverse (3175), we get a palindrome (8888).

It can be divided in two parts, 57 and 13, that multiplied together give a triangular number (741 = T38).

5713 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 1089 = 68^2 + 33^2 .

It is a 3-Lehmer number, since φ(5713) divides (5713-1)3.

It is a cyclic number.

It is not a de Polignac number, because 5713 - 21 = 5711 is a prime.

It is a Duffinian number.

5713 is an undulating number in base 14.

5713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 127.

It is an arithmetic number, because the mean of its divisors is an integer number (1485).

25713 is an apocalyptic number.

It is an amenable number.

5713 is a deficient number, since it is larger than the sum of its proper divisors (227).

5713 is a wasteful number, since it uses less digits than its factorization.

5713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226.

The product of its digits is 105, while the sum is 16.

The square root of 5713 is about 75.5843899228. The cubic root of 5713 is about 17.8767297461.

The spelling of 5713 in words is "five thousand, seven hundred thirteen".

Divisors: 1 29 197 5713