132709 has 2 divisors, whose sum is σ = 132710. Its totient is φ = 132708.

The previous prime is 132707. The next prime is 132721. The reversal of 132709 is 907231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124609 + 8100 = 353^2 + 90^2 .

It is a cyclic number.

It is not a de Polignac number, because 132709 - 2¹ = 132707 is a prime.

It is a super-2 number, since 2×132709² = 35223357362, which contains 22 as substring.

Together with 132707, it forms a pair of twin primes.

132709 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 132709.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132701) 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 as a sum of consecutive naturals, namely, 66354 + 66355.

It is an arithmetic number, because the mean of its divisors is an integer number (66355).

2¹³²⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

132709 is a deficient number, since it is larger than the sum of its proper divisors (1).

132709 is an equidigital number, since it uses as much as digits as its factorization.

132709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 132709 is about 364.2924649234. The cubic root of 132709 is about 51.0074319555.

It can be divided in two parts, 132 and 709, that added together give a square (841 = 29²).

The spelling of 132709 in words is "one hundred thirty-two thousand, seven hundred nine".