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7001 is a prime number

7001 has 2 divisors, whose sum is σ = 7002. Its totient is φ = 7000.

The previous prime is 6997. The next prime is 7013. The reversal of 7001 is 1007.

7001 is nontrivially palindromic in base 6.

7001 is digitally balanced in base 3, 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., 5776 + 1225 = 76^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 7001 - 22 = 6997 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3500 + 3501.

It is an arithmetic number, because the mean of its divisors is an integer number (3501).

27001 is an apocalyptic number.

It is an amenable number.

7001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7001 is an equidigital number, since it uses as much as digits as its factorization.

7001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 7001 is about 83.6719785830. The cubic root of 7001 is about 19.1302227040.

Adding to 7001 its reverse (1007), we get a palindrome (8008).

The spelling of 7001 in words is "seven thousand, one", and thus it is an iban number.