Search a number
709 is a prime number

709 has 2 divisors, whose sum is σ = 710. Its totient is φ = 708.

The previous prime is 701. The next prime is 719. The reversal of 709 is 907.

It is a happy number.

709 is nontrivially palindromic in base 11.

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

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 484 + 225 = 22^2 + 15^2 .

It is an emirp because it is prime and its reverse (907) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 709 - 23 = 701 is a prime.

It is an alternating number because its digits alternate between odd and even.

709 is an undulating number in base 11.

709 is a modest number, since divided by 9 gives 7 as remainder.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 692 and 701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 354 + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (355).

It is an amenable number.

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

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

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

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 709 is about 26.6270539114. The cubic root of 709 is about 8.9169311167.

Subtracting from 709 its product of nonzero digits (63), we obtain a palindrome (646).

It can be divided in two parts, 70 and 9, that multiplied together give a triangular number (630 = T35).

The spelling of 709 in words is "seven hundred nine", and thus it is an aban number and an oban number.