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6701 is a prime number

6701 has 2 divisors, whose sum is σ = 6702. Its totient is φ = 6700.

The previous prime is 6691. The next prime is 6703. The reversal of 6701 is 1076.

It is a happy number.

6701 is nontrivially palindromic in base 7.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5476 + 1225 = 74^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 6701 - 26 = 6637 is a prime.

Together with 6703, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6703) 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 as a sum of consecutive naturals, namely, 3350 + 3351.

It is an arithmetic number, because the mean of its divisors is an integer number (3351).

26701 is an apocalyptic number.

It is an amenable number.

6701 is a deficient number, since it is larger than the sum of its proper divisors (1).

6701 is an equidigital number, since it uses as much as digits as its factorization.

6701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 6701 is about 81.8596359630. The cubic root of 6701 is about 18.8529741758.

Adding to 6701 its reverse (1076), we get a palindrome (7777).

Subtracting from 6701 its reverse (1076), we obtain a square (5625 = 752).

It can be divided in two parts, 6 and 701, that added together give a palindrome (707).

The spelling of 6701 in words is "six thousand, seven hundred one".