71709 has 16 divisors (see below), whose sum is σ = 108864. Its totient is φ = 41600.

The previous prime is 71707. The next prime is 71711. The reversal of 71709 is 90717.

71709 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (71707) and next prime (71711).

It is a cyclic number.

It is not a de Polignac number, because 71709 - 2¹ = 71707 is a prime.

71709 is an undulating number in base 14.

71709 is a Rhonda number in base 15.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71707) 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 15 ways as a sum of consecutive naturals, for example, 1327 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁷¹⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

71709 is a deficient number, since it is larger than the sum of its proper divisors (37155).

71709 is a wasteful number, since it uses less digits than its factorization.

71709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 71709 is about 267.7853618105. The cubic root of 71709 is about 41.5455540807.

It can be divided in two parts, 71 and 709, that added together give a triangular number (780 = T₃₉).

The spelling of 71709 in words is "seventy-one thousand, seven hundred nine".