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2089 is a prime number
BaseRepresentation
bin100000101001
32212101
4200221
531324
613401
76043
oct4051
92771
102089
11162a
121261
13c49
14a93
15944
hex829

2089 has 2 divisors, whose sum is σ = 2090. Its totient is φ = 2088.

The previous prime is 2087. The next prime is 2099. The reversal of 2089 is 9802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2025 + 64 = 45^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 2089 - 21 = 2087 is a prime.

Together with 2087, it forms a pair of twin primes.

It is a nialpdrome in base 14 and base 15.

It is not a weakly prime, because it can be changed into another prime (2081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1044 + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (1045).

It is an amenable number.

2089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2089 is an equidigital number, since it uses as much as digits as its factorization.

2089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2089 is about 45.7055795281. The cubic root of 2089 is about 12.7833931770.

The spelling of 2089 in words is "two thousand, eighty-nine".