71305 has 8 divisors (see below), whose sum is σ = 92232. Its totient is φ = 52608.

The previous prime is 71293. The next prime is 71317. The reversal of 71305 is 50317.

It is an interprime number because it is at equal distance from previous prime (71293) and next prime (71317).

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 71289 = 4^2 + 267^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 71305 - 2⁹ = 70793 is a prime.

It is a Duffinian number.

71305 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 484 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (11529).

2⁷¹³⁰⁵ is an apocalyptic number.

It is an amenable number.

71305 is a deficient number, since it is larger than the sum of its proper divisors (20927).

71305 is a wasteful number, since it uses less digits than its factorization.

71305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 71305 is about 267.0299608658. The cubic root of 71305 is about 41.4673861923.

Subtracting from 71305 its sum of digits (16), we obtain a square (71289 = 267²).

The spelling of 71305 in words is "seventy-one thousand, three hundred five".