33448 has 16 divisors (see below), whose sum is σ = 64980. Its totient is φ = 16128.

The previous prime is 33427. The next prime is 33457. The reversal of 33448 is 84433.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 324 = 182^2 + 18^2 .

It is a super-2 number, since 2×33448² = 2237537408, which contains 22 as substring.

33448 is an undulating number in base 15.

It is a plaindrome in base 10 and base 13.

It is an unprimeable number.

33448 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, 240 + ... + 352.

2³³⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

33448 is a deficient number, since it is larger than the sum of its proper divisors (31532).

33448 is a wasteful number, since it uses less digits than its factorization.

33448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 33448 is about 182.8879438345. The cubic root of 33448 is about 32.2198404017.

The spelling of 33448 in words is "thirty-three thousand, four hundred forty-eight".