33668 has 12 divisors (see below), whose sum is σ = 62160. Its totient is φ = 15912.

The previous prime is 33647. The next prime is 33679. The reversal of 33668 is 86633.

It is a super-2 number, since 2×33668² = 2267068448, which contains 22 as substring.

It is a plaindrome in base 10.

It is an unprimeable number.

33668 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 146 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (5180).

2³³⁶⁶⁸ is an apocalyptic number.

33668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

33668 is a deficient number, since it is larger than the sum of its proper divisors (28492).

33668 is a wasteful number, since it uses less digits than its factorization.

33668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 33668 is about 183.4884192531. The cubic root of 33668 is about 32.2903267336.

It can be divided in two parts, 336 and 68, that added together give a palindrome (404).

The spelling of 33668 in words is "thirty-three thousand, six hundred sixty-eight".