1848 has 32 divisors (see below), whose sum is σ = 5760. Its totient is φ = 480.

The previous prime is 1847. The next prime is 1861. The reversal of 1848 is 8481.

It is a Cunningham number, because it is equal to 43²-1.

It is a super-3 number, since 3×1848³ = 18933336576, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

1848 is an idoneal number.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1847) 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, 163 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (180).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880).

1848 is an abundant number, since it is smaller than the sum of its proper divisors (3912).

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

1848 is a wasteful number, since it uses less digits than its factorization.

1848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 23 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 1848 is about 42.9883705204. The cubic root of 1848 is about 12.2715848793.

1848 divided by its sum of digits (21) gives a palindrome (88).

It can be divided in two parts, 18 and 48, that added together give a palindrome (66).

The spelling of 1848 in words is "one thousand, eight hundred forty-eight".