10609 has 3 divisors (see below), whose sum is σ = 10713. Its totient is φ = 10506.

The previous prime is 10607. The next prime is 10613. The reversal of 10609 is 90601.

10609 = T_{102} + T_{103}.

The square root of 10609 is 103.

It is a perfect power (a square), and thus also a powerful number.

10609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 10609 - 2^{1} = 10607 is a prime.

It is a super-2 number, since 2×10609^{2} = 225101762, which contains 22 as substring.

It is a tribonacci number.

It is a Duffinian number.

10609 is a lucky number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10592 and 10601.

It is not an unprimeable number, because it can be changed into a prime (10601) 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 2 ways as a sum of consecutive naturals, for example, 52 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (3571).

2^{10609} is an apocalyptic number.

10609 is the 103-rd square number.

10609 is the 52-nd centered octagonal number.

It is an amenable number.

10609 is a deficient number, since it is larger than the sum of its proper divisors (104).

10609 is an frugal number, since it uses more digits than its factorization.

10609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 10609 is about 21.9731076366.

Multiplying 10609 by its sum of digits (16), we get a square (169744 = 412^{2}).

Multiplying 10609 by its reverse (90601), we get a square (961186009 = 31003^{2}).

The spelling of 10609 in words is "ten thousand, six hundred nine".

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