3389 has 2 divisors, whose sum is σ = 3390. Its totient is φ = 3388.

The previous prime is 3373. The next prime is 3391. The reversal of 3389 is 9833.

3389 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3364 + 25 = 58^2 + 5^2 .

It is an emirp because it is prime and its reverse (9833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3389 - 2⁴ = 3373 is a prime.

It is a super-2 number, since 2×3389² = 22970642, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3391, it forms a pair of twin primes.

It is a Chen prime.

3389 is an undulating number in base 16.

It is a Curzon number.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1694 + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (1695).

2³³⁸⁹ is an apocalyptic number.

It is an amenable number.

3389 is a deficient number, since it is larger than the sum of its proper divisors (1).

3389 is an equidigital number, since it uses as much as digits as its factorization.

3389 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 23.

The square root of 3389 is about 58.2151183113. The cubic root of 3389 is about 15.0207121281.

The spelling of 3389 in words is "three thousand, three hundred eighty-nine".