33456 has 40 divisors (see below), whose sum is σ = 93744. Its totient is φ = 10240.

The previous prime is 33427. The next prime is 33457. The reversal of 33456 is 65433.

33456 = 6² + 7² + ... + 46².

It is a super-2 number, since 2×33456² = 2238607872, which contains 22 as substring.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33457) by changing a digit.

33456 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 7 ways as a sum of consecutive naturals, for example, 796 + ... + 836.

2³³⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872).

33456 is an abundant number, since it is smaller than the sum of its proper divisors (60288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33456 is a wasteful number, since it uses less digits than its factorization.

33456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 33456 is about 182.9098138428. The cubic root of 33456 is about 32.2224089477. Note that the first 3 decimals are identical.

Adding to 33456 its reverse (65433), we get a palindrome (98889).

The spelling of 33456 in words is "thirty-three thousand, four hundred fifty-six".