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2801 is a prime number

2801 has 2 divisors, whose sum is σ = 2802. Its totient is φ = 2800.

The previous prime is 2797. The next prime is 2803. The reversal of 2801 is 1082.

2801 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., 2401 + 400 = 49^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 2801 - 22 = 2797 is a prime.

Together with 2803, it forms a pair of twin primes.

It is a Chen prime.

2801 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not a weakly prime, because it can be changed into another prime (2803) by changing a digit.

It is a nontrivial repunit in base 7.

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, 1400 + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (1401).

22801 is an apocalyptic number.

It is an amenable number.

2801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2801 is an equidigital number, since it uses as much as digits as its factorization.

2801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2801 is about 52.9244744896. The cubic root of 2801 is about 14.0962751927.

Adding to 2801 its reverse (1082), we get a palindrome (3883).

The spelling of 2801 in words is "two thousand, eight hundred one".