65008 has 20 divisors (see below), whose sum is σ = 133920. Its totient is φ = 30464.

The previous prime is 65003. The next prime is 65011. The reversal of 65008 is 80056.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65003) by changing a digit.

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, 153 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁶⁵⁰⁰⁸ is an apocalyptic number.

65008 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

65008 is an abundant number, since it is smaller than the sum of its proper divisors (68912).

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

65008 is a wasteful number, since it uses less digits than its factorization.

65008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 65008 is about 254.9666644877. The cubic root of 65008 is about 40.2089070467.

The spelling of 65008 in words is "sixty-five thousand, eight".