83140 has 12 divisors (see below), whose sum is σ = 174636. Its totient is φ = 33248.

The previous prime is 83137. The next prime is 83177. The reversal of 83140 is 4138.

83140 = T₈₁ + T₈₂ + ... + T₁₀₀.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 49284 = 184^2 + 222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2059 + ... + 2098.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2⁸³¹⁴⁰ is an apocalyptic number.

It is an amenable number.

83140 is an abundant number, since it is smaller than the sum of its proper divisors (91496).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318).

83140 is a wasteful number, since it uses less digits than its factorization.

83140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 83140 is about 288.3400769924. The cubic root of 83140 is about 43.6452186365.

Adding to 83140 its reverse (4138), we get a palindrome (87278).

The spelling of 83140 in words is "eighty-three thousand, one hundred forty".