81884 has 12 divisors (see below), whose sum is σ = 156408. Its totient is φ = 37200.

The previous prime is 81883. The next prime is 81899. The reversal of 81884 is 48818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 887 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (13034).

2⁸¹⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

81884 is a deficient number, since it is larger than the sum of its proper divisors (74524).

81884 is a wasteful number, since it uses less digits than its factorization.

81884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1874 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 81884 is about 286.1538047974. The cubic root of 81884 is about 43.4243190171.

It can be divided in two parts, 8188 and 4, that added together give a 13-th power (8192 = 2¹³).

The spelling of 81884 in words is "eighty-one thousand, eight hundred eighty-four".