5604 has 12 divisors (see below), whose sum is σ = 13104. Its totient is φ = 1864.

The previous prime is 5591. The next prime is 5623. The reversal of 5604 is 4065.

It is a tau number, because it is divible by the number of its divisors (12).

It is a partition number, being equal to the number of ways a set of 30 identical objects can be partitioned into subset.

It is a plaindrome in base 7.

It is an unprimeable number.

5604 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 222 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

2^{5604} is an apocalyptic number.

It is an amenable number.

5604 is an abundant number, since it is smaller than the sum of its proper divisors (7500).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552).

5604 is a wasteful number, since it uses less digits than its factorization.

5604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5604 is about 74.8598690889. The cubic root of 5604 is about 17.7623071429.

Adding to 5604 its reverse (4065), we get a palindrome (9669).

The spelling of 5604 in words is "five thousand, six hundred four".

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