10665 has 16 divisors (see below), whose sum is σ = 19200. Its totient is φ = 5616.

The previous prime is 10663. The next prime is 10667. The reversal of 10665 is 56601.

10665 is a `hidden beast` number, since 1 + 0 + 665 = 666.

10665 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10663) and next prime (10667).

It is not a de Polignac number, because 10665 - 2¹ = 10663 is a prime.

It is a super-2 number, since 2×10665² = 227484450, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10665.

It is not an unprimeable number, because it can be changed into a prime (10663) 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, 96 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (1200).

2¹⁰⁶⁶⁵ is an apocalyptic number.

10665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10665 is a deficient number, since it is larger than the sum of its proper divisors (8535).

10665 is an equidigital number, since it uses as much as digits as its factorization.

10665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10665 is about 103.2714868684. The cubic root of 10665 is about 22.0117017637.

It can be divided in two parts, 106 and 65, that added together give a palindrome (171).

The spelling of 10665 in words is "ten thousand, six hundred sixty-five".