3889 has 2 divisors, whose sum is σ = 3890. Its totient is φ = 3888.

The previous prime is 3881. The next prime is 3907. The reversal of 3889 is 9883.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 289 = 60^2 + 17^2 .

It is an emirp because it is prime and its reverse (9883) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3889 - 2³ = 3881 is a prime.

It is a Chen prime.

3889 is a lucky number.

It is a plaindrome in base 10, base 14 and base 15.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (3881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a Pierpont prime, being equal to 2⁴ ⋅ 3⁵ + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1944 + 1945.

It is an arithmetic number, because the mean of its divisors is an integer number (1945).

2³⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

3889 is a deficient number, since it is larger than the sum of its proper divisors (1).

3889 is an equidigital number, since it uses as much as digits as its factorization.

3889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The square root of 3889 is about 62.3618473107. The cubic root of 3889 is about 15.7257963677.

The spelling of 3889 in words is "three thousand, eight hundred eighty-nine".