71307 has 16 divisors (see below), whose sum is σ = 112000. Its totient is φ = 44712.

The previous prime is 71293. The next prime is 71317. The reversal of 71307 is 70317.

It is not a de Polignac number, because 71307 - 2¹¹ = 69259 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 71307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71307.

It is not an unprimeable number, because it can be changed into a prime (71317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (7000).

2⁷¹³⁰⁷ is an apocalyptic number.

71307 is a deficient number, since it is larger than the sum of its proper divisors (40693).

71307 is a wasteful number, since it uses less digits than its factorization.

71307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 71307 is about 267.0337057377. The cubic root of 71307 is about 41.4677738883.

Subtracting from 71307 its sum of digits (18), we obtain a square (71289 = 267²).

Subtracting from 71307 its reverse (70317), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 71 and 307, that added together give a triangular number (378 = T₂₇).

The spelling of 71307 in words is "seventy-one thousand, three hundred seven", and thus it is an iban number.