8142 has 16 divisors (see below), whose sum is σ = 17280. Its totient is φ = 2552.

The previous prime is 8123. The next prime is 8147. The reversal of 8142 is 2418.

8142 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2⁸¹⁴² is an apocalyptic number.

8142 is an abundant number, since it is smaller than the sum of its proper divisors (9138).

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 (8640).

8142 is a wasteful number, since it uses less digits than its factorization.

8142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87.

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

The square root of 8142 is about 90.2330316458. The cubic root of 8142 is about 20.1176400179.

The spelling of 8142 in words is "eight thousand, one hundred forty-two".