33104 has 10 divisors (see below), whose sum is σ = 64170. Its totient is φ = 16544.

The previous prime is 33091. The next prime is 33107. The reversal of 33104 is 40133.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 10000 = 152^2 + 100^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33104.

It is not an unprimeable number, because it can be changed into a prime (33107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1019 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (6417).

2³³¹⁰⁴ is an apocalyptic number.

It is an amenable number.

33104 is a deficient number, since it is larger than the sum of its proper divisors (31066).

33104 is a wasteful number, since it uses less digits than its factorization.

33104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 33104 is about 181.9450466487. The cubic root of 33104 is about 32.1090032748.

Adding to 33104 its reverse (40133), we get a palindrome (73237).

The spelling of 33104 in words is "thirty-three thousand, one hundred four".