Search a number
3299 is a prime number

3299 has 2 divisors, whose sum is σ = 3300. Its totient is φ = 3298.

The previous prime is 3271. The next prime is 3301. The reversal of 3299 is 9923.

3299 is nontrivially palindromic in base 15.

It is a strong prime.

It is an emirp because it is prime and its reverse (9923) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3299 is a prime.

It is a Sophie Germain prime.

Together with 3301, it forms a pair of twin primes.

It is a Chen prime.

3299 is an undulating number in base 15.

3299 is a modest number, since divided by 99 gives 32 as remainder.

It is a plaindrome in base 12 and base 13.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (3209) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1649 + 1650.

It is an arithmetic number, because the mean of its divisors is an integer number (1650).

3299 is a deficient number, since it is larger than the sum of its proper divisors (1).

3299 is an equidigital number, since it uses as much as digits as its factorization.

3299 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 23.

The square root of 3299 is about 57.4369219231. The cubic root of 3299 is about 14.8865515336.

It can be divided in two parts, 32 and 99, that added together give a palindrome (131).

The spelling of 3299 in words is "three thousand, two hundred ninety-nine".