65000 has 40 divisors (see below), whose sum is σ = 164010. Its totient is φ = 24000.

The previous prime is 64997. The next prime is 65003. The reversal of 65000 is 56.

It is an interprime number because it is at equal distance from previous prime (64997) and next prime (65003).

It can be written as a sum of positive squares in 5 ways, for example, as 484 + 64516 = 22^2 + 254^2 .

It is a sliding number, since 65000 = 25000 + 40000 and 1/25000 + 1/40000 = 0.000065000.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65000.

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 9 ways as a sum of consecutive naturals, for example, 4994 + ... + 5006.

2⁶⁵⁰⁰⁰ 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 65000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82005).

65000 is an abundant number, since it is smaller than the sum of its proper divisors (99010).

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

65000 is a wasteful number, since it uses less digits than its factorization.

65000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 65000 is about 254.9509756796. The cubic root of 65000 is about 40.2072575859.

Adding to 65000 its reverse (56), we get a palindrome (65056).

The spelling of 65000 in words is "sixty-five thousand".