2081 has 2 divisors, whose sum is σ = 2082. Its totient is φ = 2080.

The previous prime is 2069. The next prime is 2083. The reversal of 2081 is 1802.

Adding to 2081 its reverse (1802), we get a palindrome (3883).

It can be divided in two parts, 20 and 81, that added together give a palindrome (101).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1681 + 400 = 41^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 2081 - 2^{6} = 2017 is a prime.

It is a super-2 number, since 2×2081^{2} = 8661122, which contains 22 as substring.

Together with 2083, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 2081 parts by 64 straight cuts.

It is a plaindrome in base 6 and base 12.

It is a nialpdrome in base 13 and base 16.

It is not a weakly prime, because it can be changed into another prime (2083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1040 + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (1041).

2^{2081} is an apocalyptic number.

It is an amenable number.

2081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2081 is an equidigital number, since it uses as much as digits as its factorization.

2081 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 2081 is about 45.6179789118. The cubic root of 2081 is about 12.7670539444.

The spelling of 2081 in words is "two thousand, eighty-one".

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