6714 has 12 divisors (see below), whose sum is σ = 14586. Its totient is φ = 2232.

The previous prime is 6709. The next prime is 6719. The reversal of 6714 is 4176.

It is an interprime number because it is at equal distance from previous prime (6709) and next prime (6719).

It can be written as a sum of positive squares in only one way, i.e., 5625 + 1089 = 75^2 + 33^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 373 = 6714 / (6 + 7 + 1 + 4).

It is a d-powerful number, because it can be written as **6**^{3} + **1** + **7**^{4} + **4**^{6} .

It is not an unprimeable number, because it can be changed into a prime (6719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169 + ... + 204.

2^{6714} is an apocalyptic number.

6714 is an abundant number, since it is smaller than the sum of its proper divisors (7872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6714 is a wasteful number, since it uses less digits than its factorization.

6714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 378 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 6714 is about 81.9390017025. The cubic root of 6714 is about 18.8651579466.

6714 divided by its sum of digits (18) gives a palindrome (373).

It can be divided in two parts, 67 and 14, that added together give a 4-th power (81 = 3^{4}).

The spelling of 6714 in words is "six thousand, seven hundred fourteen".

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