33268 has 6 divisors (see below), whose sum is σ = 58226. Its totient is φ = 16632.

The previous prime is 33247. The next prime is 33287. The reversal of 33268 is 86233.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 144 = 182^2 + 12^2 .

It is a super-2 number, since 2×33268² = 2213519648, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 3⁵ + 2¹⁵ + 6 + 8 .

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4155 + ... + 4162.

2³³²⁶⁸ is an apocalyptic number.

It is an amenable number.

33268 is a deficient number, since it is larger than the sum of its proper divisors (24958).

33268 is a wasteful number, since it uses less digits than its factorization.

33268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8319 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 33268 is about 182.3951753748. The cubic root of 33268 is about 32.1619395215.

It can be divided in two parts, 332 and 68, that added together give a square (400 = 20²).

The spelling of 33268 in words is "thirty-three thousand, two hundred sixty-eight".