11709 has 6 divisors (see below), whose sum is σ = 16926. Its totient is φ = 7800.

The previous prime is 11701. The next prime is 11717. The reversal of 11709 is 90711.

It is an interprime number because it is at equal distance from previous prime (11701) and next prime (11717).

It can be written as a sum of positive squares in only one way, i.e., 6084 + 5625 = 78^2 + 75^2 .

It is not a de Polignac number, because 11709 - 2^{3} = 11701 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 117 and 9 contains 11709 itself.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 11691 and 11700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 642 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2^{11709} is an apocalyptic number.

It is an amenable number.

11709 is a deficient number, since it is larger than the sum of its proper divisors (5217).

11709 is a wasteful number, since it uses less digits than its factorization.

11709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 11709 is about 108.2081327812. The cubic root of 11709 is about 22.7077063112.

The spelling of 11709 in words is "eleven thousand, seven hundred nine".

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