3982 has 8 divisors (see below), whose sum is σ = 6552. Its totient is φ = 1800.

The previous prime is 3967. The next prime is 3989. The reversal of 3982 is 2893.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 181 = 3982 / (3 + 9 + 8 + 2).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989) by changing a digit.

3982 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 3 ways as a sum of consecutive naturals, for example, 69 + ... + 112.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

2³⁹⁸² is an apocalyptic number.

3982 is a deficient number, since it is larger than the sum of its proper divisors (2570).

3982 is a wasteful number, since it uses less digits than its factorization.

3982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194.

The product of its digits is 432, while the sum is 22.

The square root of 3982 is about 63.1030902571. The cubic root of 3982 is about 15.8501636978.

Adding to 3982 its sum of digits (22), we get a palindrome (4004).

3982 divided by its sum of digits (22) gives a palindrome (181).

Subtracting from 3982 its reverse (2893), we obtain a square (1089 = 33²).

It can be divided in two parts, 398 and 2, that added together give a square (400 = 20²).

The spelling of 3982 in words is "three thousand, nine hundred eighty-two".