Search a number
3329 is a prime number
BaseRepresentation
bin110100000001
311120022
4310001
5101304
623225
712464
oct6401
94508
103329
112557
121b15
131691
1412db
15ebe
hexd01

3329 has 2 divisors, whose sum is σ = 3330. Its totient is φ = 3328.

The previous prime is 3323. The next prime is 3331. The reversal of 3329 is 9233.

It is a happy number.

3329 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 625 = 52^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 3329 - 24 = 3313 is a prime.

It is a super-2 number, since 2×33292 = 22164482, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3331, it forms a pair of twin primes.

It is a Chen prime.

3329 is an undulating number in base 15.

It is a Curzon number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3329.

It is not a weakly prime, because it can be changed into another prime (3323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1664 + 1665.

It is an arithmetic number, because the mean of its divisors is an integer number (1665).

It is a Proth number, since it is equal to 13 ⋅ 28 + 1 and 13 < 28.

23329 is an apocalyptic number.

It is an amenable number.

3329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3329 is an equidigital number, since it uses as much as digits as its factorization.

3329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 162, while the sum is 17.

The square root of 3329 is about 57.6974869470. The cubic root of 3329 is about 14.9315398746.

The spelling of 3329 in words is "three thousand, three hundred twenty-nine".