83842 has 16 divisors (see below), whose sum is σ = 142272. Its totient is φ = 36720.

The previous prime is 83833. The next prime is 83843. The reversal of 83842 is 24838.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83843) 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, 763 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (8892).

2⁸³⁸⁴² is an apocalyptic number.

83842 is a deficient number, since it is larger than the sum of its proper divisors (58430).

83842 is a wasteful number, since it uses less digits than its factorization.

83842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153.

The product of its digits is 1536, while the sum is 25.

The square root of 83842 is about 289.5548307316. The cubic root of 83842 is about 43.7677152747.

The spelling of 83842 in words is "eighty-three thousand, eight hundred forty-two".