1842 has 8 divisors (see below), whose sum is σ = 3696. Its totient is φ = 612.

The previous prime is 1831. The next prime is 1847. The reversal of 1842 is 2481.

It is a sphenic number, since it is the product of 3 distinct primes.

1842 is an admirable number.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 9.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1847) by changing a digit.

1842 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 3 ways as a sum of consecutive naturals, for example, 148 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (462).

1842 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (1848).

1842 is a wasteful number, since it uses less digits than its factorization.

1842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

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

The square root of 1842 is about 42.9185274677. The cubic root of 1842 is about 12.2582895440.

The spelling of 1842 in words is "one thousand, eight hundred forty-two".