10065 has 16 divisors (see below), whose sum is σ = 17856. Its totient is φ = 4800.

The previous prime is 10061. The next prime is 10067. The reversal of 10065 is 56001.

Added to its reverse (56001) it gives a triangular number (66066 = T₃₆₃).

10065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10065 - 2² = 10061 is a prime.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 10065.

It is not an unprimeable number, because it can be changed into a prime (10061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (1116).

2¹⁰⁰⁶⁵ is an apocalyptic number.

10065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10065 is a deficient number, since it is larger than the sum of its proper divisors (7791).

10065 is a wasteful number, since it uses less digits than its factorization.

10065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10065 is about 100.3244735845. The cubic root of 10065 is about 21.5909255435.

Adding to 10065 its reverse (56001), we get a palindrome (66066).

The spelling of 10065 in words is "ten thousand, sixty-five".