81892 has 12 divisors (see below), whose sum is σ = 146160. Its totient is φ = 40136.

The previous prime is 81883. The next prime is 81899. The reversal of 81892 is 29818.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 81892.

It is not an unprimeable number, because it can be changed into a prime (81899) by changing a digit.

81892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (12180).

2⁸¹⁸⁹² is an apocalyptic number.

It is an amenable number.

81892 is a deficient number, since it is larger than the sum of its proper divisors (64268).

81892 is a wasteful number, since it uses less digits than its factorization.

81892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 81892 is about 286.1677829526. The cubic root of 81892 is about 43.4257331445.

The spelling of 81892 in words is "eighty-one thousand, eight hundred ninety-two".