71285 has 8 divisors (see below), whose sum is σ = 87480. Its totient is φ = 55744.

The previous prime is 71263. The next prime is 71287. The reversal of 71285 is 58217.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 69169 = 46^2 + 263^2 .

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 71285 - 2¹² = 67189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (10935).

2⁷¹²⁸⁵ is an apocalyptic number.

It is an amenable number.

71285 is a deficient number, since it is larger than the sum of its proper divisors (16195).

71285 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (71284) it forms an eRAP, since the sums of their prime factors are consecutive (326 and 327).

71285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its digits is 560, while the sum is 23.

The square root of 71285 is about 266.9925092582. The cubic root of 71285 is about 41.4635088332.

It can be divided in two parts, 712 and 85, that added together give a palindrome (797).

The spelling of 71285 in words is "seventy-one thousand, two hundred eighty-five".