71306 has 8 divisors (see below), whose sum is σ = 108324. Its totient is φ = 35200.

The previous prime is 71293. The next prime is 71317. The reversal of 71306 is 60317.

It can be written as a sum of positive squares in 2 ways, for example, as 67081 + 4225 = 259^2 + 65^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×71306³ = 1087675833361848, which contains 333 as substring.

It is a plaindrome in base 16.

It is an unprimeable number.

71306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 26 + ... + 378.

2⁷¹³⁰⁶ is an apocalyptic number.

71306 is a deficient number, since it is larger than the sum of its proper divisors (37018).

71306 is a wasteful number, since it uses less digits than its factorization.

71306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 71306 is about 267.0318333083. The cubic root of 71306 is about 41.4675800412.

Subtracting from 71306 its sum of digits (17), we obtain a square (71289 = 267²).

The spelling of 71306 in words is "seventy-one thousand, three hundred six".