33064 has 8 divisors (see below), whose sum is σ = 62010. Its totient is φ = 16528.

The previous prime is 33053. The next prime is 33071. The reversal of 33064 is 46033.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 8100 = 158^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

33064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2059 + ... + 2074.

2³³⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

33064 is a deficient number, since it is larger than the sum of its proper divisors (28946).

33064 is a wasteful number, since it uses less digits than its factorization.

33064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4135 counting only the distinct ones).

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

The square root of 33064 is about 181.8350901229. The cubic root of 33064 is about 32.0960654850.

Adding to 33064 its reverse (46033), we get a palindrome (79097).

The spelling of 33064 in words is "thirty-three thousand, sixty-four".