33349 has 2 divisors, whose sum is σ = 33350. Its totient is φ = 33348.

The previous prime is 33347. The next prime is 33353. The reversal of 33349 is 94333.

33349 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 225 = 182^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 33349 - 2¹ = 33347 is a prime.

It is a super-2 number, since 2×33349² = 2224311602, which contains 22 as substring.

Together with 33347, it forms a pair of twin primes.

It is a Chen prime.

33349 is a lucky number.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16674 + 16675.

It is an arithmetic number, because the mean of its divisors is an integer number (16675).

2³³³⁴⁹ is an apocalyptic number.

It is an amenable number.

33349 is a deficient number, since it is larger than the sum of its proper divisors (1).

33349 is an equidigital number, since it uses as much as digits as its factorization.

33349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 22.

The square root of 33349 is about 182.6170857286. The cubic root of 33349 is about 32.1880206973.

The spelling of 33349 in words is "thirty-three thousand, three hundred forty-nine".