82131 has 8 divisors (see below), whose sum is σ = 125184. Its totient is φ = 46920.

The previous prime is 82129. The next prime is 82139. The reversal of 82131 is 13128.

It is a happy number.

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

It is not a de Polignac number, because 82131 - 2¹ = 82129 is a prime.

It is a super-2 number, since 2×82131² = 13491002322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82139) 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, 1935 + ... + 1976.

It is an arithmetic number, because the mean of its divisors is an integer number (15648).

2⁸²¹³¹ is an apocalyptic number.

82131 is a deficient number, since it is larger than the sum of its proper divisors (43053).

82131 is a wasteful number, since it uses less digits than its factorization.

82131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921.

The product of its digits is 48, while the sum is 15.

The square root of 82131 is about 286.5850659054. The cubic root of 82131 is about 43.4679377956.

Adding to 82131 its reverse (13128), we get a palindrome (95259).

The spelling of 82131 in words is "eighty-two thousand, one hundred thirty-one".