1881 has 12 divisors (see below), whose sum is σ = 3120. Its totient is φ = 1080.

The previous prime is 1879. The next prime is 1889.

It is a happy number.

1881 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1881 - 2¹ = 1879 is a prime.

It is a super-2 number, since 2×1881² = 7076322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

1881 is a strobogrammatic number because it is the same when read upside-down.

1881 is a modest number, since divided by 81 gives 18 as remainder.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1889) 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 11 ways as a sum of consecutive naturals, for example, 90 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (260).

2¹⁸⁸¹ is an apocalyptic number.

1881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1881 is a deficient number, since it is larger than the sum of its proper divisors (1239).

1881 is a wasteful number, since it uses less digits than its factorization.

1881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 33 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1881 is about 43.3704968844. The cubic root of 1881 is about 12.3441994976.

It can be divided in two parts, 18 and 81, that added together give a palindrome (99).

The spelling of 1881 in words is "one thousand, eight hundred eighty-one".