85842 has 24 divisors (see below), whose sum is σ = 196560. Its totient is φ = 27000.

The previous prime is 85837. The next prime is 85843. The reversal of 85842 is 24858.

It is not an unprimeable number, because it can be changed into a prime (85843) by changing a digit.

85842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁸⁵⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

85842 is an abundant number, since it is smaller than the sum of its proper divisors (110718).

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

85842 is a wasteful number, since it uses less digits than its factorization.

85842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 85842 is about 292.9880543640. The cubic root of 85842 is about 44.1130015501.

It can be divided in two parts, 858 and 42, that added together give a square (900 = 30²).

The spelling of 85842 in words is "eighty-five thousand, eight hundred forty-two".