84140 has 24 divisors (see below), whose sum is σ = 202272. Its totient is φ = 28800.

The previous prime is 84137. The next prime is 84143. The reversal of 84140 is 4148.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84137) and next prime (84143).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (84143) 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, 161 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (8428).

2⁸⁴¹⁴⁰ is an apocalyptic number.

It is an amenable number.

84140 is an abundant number, since it is smaller than the sum of its proper divisors (118132).

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 (101136).

84140 is a wasteful number, since it uses less digits than its factorization.

84140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 84140 is about 290.0689573188. The cubic root of 84140 is about 43.8195085562.

Adding to 84140 its reverse (4148), we get a palindrome (88288).

The spelling of 84140 in words is "eighty-four thousand, one hundred forty".