33104000 has 64 divisors (see below), whose sum is σ = 82344600. Its totient is φ = 13235200.

The previous prime is 33103997. The next prime is 33104003. The reversal of 33104000 is 40133.

It is an interprime number because it is at equal distance from previous prime (33103997) and next prime (33104003).

It can be written as a sum of positive squares in 4 ways, for example, as 4631104 + 28472896 = 2152^2 + 5336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (33104003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14966 + ... + 17034.

Almost surely, 2^33104000 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 33104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41172300).

33104000 is an abundant number, since it is smaller than the sum of its proper divisors (49240600).

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

33104000 is an equidigital number, since it uses as much as digits as its factorization.

33104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2076 counting only the distinct ones).

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

The square root of 33104000 is about 5753.6075639550. The cubic root of 33104000 is about 321.0900327484.

Adding to 33104000 its reverse (40133), we get a palindrome (33144133).

The spelling of 33104000 in words is "thirty-three million, one hundred four thousand".