10659 has 16 divisors (see below), whose sum is σ = 17280. Its totient is φ = 5760.

The previous prime is 10657. The next prime is 10663. The reversal of 10659 is 95601.

10659 = T₂ + T₃ + ... + T₃₉.

10659 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 10659 - 2¹ = 10657 is a prime.

It is a super-2 number, since 2×10659² = 227228562, which contains 22 as substring.

10659 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10659.

It is not an unprimeable number, because it can be changed into a prime (10651) 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, 552 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2¹⁰⁶⁵⁹ is an apocalyptic number.

10659 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10659 is a deficient number, since it is larger than the sum of its proper divisors (6621).

10659 is a wasteful number, since it uses less digits than its factorization.

10659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10659 is about 103.2424331368. The cubic root of 10659 is about 22.0075731503.

The spelling of 10659 in words is "ten thousand, six hundred fifty-nine".