71713 has 2 divisors, whose sum is σ = 71714. Its totient is φ = 71712.

The previous prime is 71711. The next prime is 71719. The reversal of 71713 is 31717.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54289 + 17424 = 233^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 71713 - 2¹ = 71711 is a prime.

Together with 71711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (71711) 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, 35856 + 35857.

It is an arithmetic number, because the mean of its divisors is an integer number (35857).

2⁷¹⁷¹³ is an apocalyptic number.

It is an amenable number.

71713 is a deficient number, since it is larger than the sum of its proper divisors (1).

71713 is an equidigital number, since it uses as much as digits as its factorization.

71713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147, while the sum is 19.

The square root of 71713 is about 267.7928303745. The cubic root of 71713 is about 41.5463265505.

It can be divided in two parts, 71 and 713, that added together give a square (784 = 28²).

The spelling of 71713 in words is "seventy-one thousand, seven hundred thirteen".