81948 has 12 divisors (see below), whose sum is σ = 191240. Its totient is φ = 27312.

The previous prime is 81943. The next prime is 81953. The reversal of 81948 is 84918.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81943) and next prime (81953).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81943) by changing a digit.

81948 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3403 + ... + 3426.

2⁸¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

81948 is an abundant number, since it is smaller than the sum of its proper divisors (109292).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95620).

81948 is a wasteful number, since it uses less digits than its factorization.

81948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6834 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 81948 is about 286.2656109280. The cubic root of 81948 is about 43.4356294590.

Subtracting from 81948 its sum of digits (30), we obtain a palindrome (81918).

The spelling of 81948 in words is "eighty-one thousand, nine hundred forty-eight".