33046 has 16 divisors (see below), whose sum is σ = 56448. Its totient is φ = 14400.

The previous prime is 33037. The next prime is 33049. The reversal of 33046 is 64033.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33049) by changing a digit.

33046 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, 786 + ... + 826.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³³⁰⁴⁶ is an apocalyptic number.

33046 is a deficient number, since it is larger than the sum of its proper divisors (23402).

33046 is a wasteful number, since it uses less digits than its factorization.

33046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33046 is about 181.7855879876. The cubic root of 33046 is about 32.0902400752.

Adding to 33046 its reverse (64033), we get a palindrome (97079).

The spelling of 33046 in words is "thirty-three thousand, forty-six".