65484 has 36 divisors (see below), whose sum is σ = 176904. Its totient is φ = 20352.

The previous prime is 65479. The next prime is 65497. The reversal of 65484 is 48456.

65484 is a `hidden beast` number, since 654 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65484.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

65484 is a Friedman number, since it can be written as 4-56+4^8, using all its digits and the basic arithmetic operations.

2⁶⁵⁴⁸⁴ 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 65484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452).

65484 is an abundant number, since it is smaller than the sum of its proper divisors (111420).

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

65484 is a wasteful number, since it uses less digits than its factorization.

65484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 65484 is about 255.8984173456. The cubic root of 65484 is about 40.3068073808.

The spelling of 65484 in words is "sixty-five thousand, four hundred eighty-four".