82140 has 36 divisors (see below), whose sum is σ = 236376. Its totient is φ = 21312.

The previous prime is 82139. The next prime is 82141. The reversal of 82140 is 4128.

82140 = T₅ + T₆ + ... + T₇₈.

82140 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (82139) and next prime (82141).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82141) 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 11 ways as a sum of consecutive naturals, for example, 2202 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (6566).

2⁸²¹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118188).

82140 is an abundant number, since it is smaller than the sum of its proper divisors (154236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82140 is a wasteful number, since it uses less digits than its factorization.

82140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82140 is about 286.6007676193. The cubic root of 82140 is about 43.4695254914.

Multiplying 82140 by its sum of digits (15), we get a square (1232100 = 1110²).

82140 divided by its sum of digits (15) gives a square (5476 = 74²).

Adding to 82140 its reverse (4128), we get a palindrome (86268).

It can be divided in two parts, 821 and 40, that added together give a triangular number (861 = T₄₁).

The spelling of 82140 in words is "eighty-two thousand, one hundred forty".