71361 has 10 divisors (see below), whose sum is σ = 106722. Its totient is φ = 47520.

The previous prime is 71359. The next prime is 71363. The reversal of 71361 is 16317.

It is an interprime number because it is at equal distance from previous prime (71359) and next prime (71363).

It can be written as a sum of positive squares in only one way, i.e., 50625 + 20736 = 225^2 + 144^2 .

It is not a de Polignac number, because 71361 - 2¹ = 71359 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71361.

It is not an unprimeable number, because it can be changed into a prime (71363) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 360 + ... + 521.

2⁷¹³⁶¹ is an apocalyptic number.

It is an amenable number.

71361 is a deficient number, since it is larger than the sum of its proper divisors (35361).

71361 is an equidigital number, since it uses as much as digits as its factorization.

71361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 884 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 71361 is about 267.1347974338. The cubic root of 71361 is about 41.4782389421.

Adding to 71361 its reverse (16317), we get a palindrome (87678).

The spelling of 71361 in words is "seventy-one thousand, three hundred sixty-one".