133709 has 2 divisors, whose sum is σ = 133710. Its totient is φ = 133708.

The previous prime is 133697. The next prime is 133711. The reversal of 133709 is 907331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133225 + 484 = 365^2 + 22^2 .

It is an emirp because it is prime and its reverse (907331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133709 is a prime.

It is a Sophie Germain prime.

Together with 133711, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

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 133709.

It is not a weakly prime, because it can be changed into another prime (133769) 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, 66854 + 66855.

It is an arithmetic number, because the mean of its divisors is an integer number (66855).

2¹³³⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

133709 is a deficient number, since it is larger than the sum of its proper divisors (1).

133709 is an equidigital number, since it uses as much as digits as its factorization.

133709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 133709 is about 365.6624126158. The cubic root of 133709 is about 51.1352299876.

The spelling of 133709 in words is "one hundred thirty-three thousand, seven hundred nine".