81852 has 24 divisors (see below), whose sum is σ = 201600. Its totient is φ = 25776.

The previous prime is 81847. The next prime is 81853. The reversal of 81852 is 25818.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81853) by changing a digit.

81852 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 7 ways as a sum of consecutive naturals, for example, 49 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁸¹⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

81852 is an abundant number, since it is smaller than the sum of its proper divisors (119748).

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

81852 is a wasteful number, since it uses less digits than its factorization.

81852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 81852 is about 286.0978853470. The cubic root of 81852 is about 43.4186615860.

The spelling of 81852 in words is "eighty-one thousand, eight hundred fifty-two".