71827 has 8 divisors (see below), whose sum is σ = 84992. Its totient is φ = 59400.

The previous prime is 71821. The next prime is 71837. The reversal of 71827 is 72817.

It is a happy number.

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 71827 - 2⁷ = 71699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71821) 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 7 ways as a sum of consecutive naturals, for example, 52 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (10624).

2⁷¹⁸²⁷ is an apocalyptic number.

71827 is a deficient number, since it is larger than the sum of its proper divisors (13165).

71827 is a wasteful number, since it uses less digits than its factorization.

71827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its digits is 784, while the sum is 25.

The square root of 71827 is about 268.0055969565. The cubic root of 71827 is about 41.5683298774.

Subtracting 71827 from its reverse (72817), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 71 and 827, that added together give a palindrome (898).

The spelling of 71827 in words is "seventy-one thousand, eight hundred twenty-seven".