81952 has 24 divisors (see below), whose sum is σ = 174636. Its totient is φ = 37632.

The previous prime is 81943. The next prime is 81953. The reversal of 81952 is 25918.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 1296 = 284^2 + 36^2 .

It is a super-2 number, since 2×81952² = 13432260608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81953) by changing a digit.

81952 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318 + ... + 514.

2⁸¹⁹⁵² 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 81952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318).

81952 is an abundant number, since it is smaller than the sum of its proper divisors (92684).

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

81952 is a wasteful number, since it uses less digits than its factorization.

81952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 81952 is about 286.2725973613. The cubic root of 81952 is about 43.4363361660.

The spelling of 81952 in words is "eighty-one thousand, nine hundred fifty-two".