65504 has 24 divisors (see below), whose sum is σ = 136080. Its totient is φ = 30976.

The previous prime is 65497. The next prime is 65519. The reversal of 65504 is 40556.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 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 65504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 692 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁶⁵⁵⁰⁴ 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 65504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040).

65504 is an abundant number, since it is smaller than the sum of its proper divisors (70576).

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

65504 is a wasteful number, since it uses less digits than its factorization.

65504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 65504 is about 255.9374923687. The cubic root of 65504 is about 40.3109104395.

The spelling of 65504 in words is "sixty-five thousand, five hundred four".