65884 has 24 divisors (see below), whose sum is σ = 142688. Its totient is φ = 25920.

The previous prime is 65881. The next prime is 65899. The reversal of 65884 is 48856.

65884 is nontrivially palindromic in base 5.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65881) 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, 274 + ... + 454.

65884 is a Friedman number, since it can be written as 58*6+4^8, using all its digits and the basic arithmetic operations.

2⁶⁵⁸⁸⁴ 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 65884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71344).

65884 is an abundant number, since it is smaller than the sum of its proper divisors (76804).

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

65884 is a wasteful number, since it uses less digits than its factorization.

65884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 65884 is about 256.6787875926. The cubic root of 65884 is about 40.3887103703.

It can be divided in two parts, 65 and 884, that added together give a palindrome (949).

The spelling of 65884 in words is "sixty-five thousand, eight hundred eighty-four".