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3001 is a prime number

3001 has 2 divisors, whose sum is σ = 3002. Its totient is φ = 3000.

The previous prime is 2999. The next prime is 3011. The reversal of 3001 is 1003.

It is a happy number.

3001 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2601 + 400 = 51^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 3001 - 21 = 2999 is a prime.

Together with 2999, it forms a pair of twin primes.

It is a plaindrome in base 11, base 13 and base 14.

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500 + 1501.

It is an arithmetic number, because the mean of its divisors is an integer number (1501).

23001 is an apocalyptic number.

3001 is the 25-th centered decagonal number.

It is an amenable number.

3001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001 is an equidigital number, since it uses as much as digits as its factorization.

3001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 3001 is about 54.7813836992. The cubic root of 3001 is about 14.4240980246.

Adding to 3001 its reverse (1003), we get a palindrome (4004).

The spelling of 3001 in words is "three thousand, one", and thus it is an iban number.