3992 has 8 divisors (see below), whose sum is σ = 7500. Its totient is φ = 1992.

The previous prime is 3989. The next prime is 4001. The reversal of 3992 is 2993.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 11 and base 12.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 242 + ... + 257.

2³⁹⁹² is an apocalyptic number.

It is an amenable number.

3992 is a deficient number, since it is larger than the sum of its proper divisors (3508).

3992 is a wasteful number, since it uses less digits than its factorization.

3992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its digits is 486, while the sum is 23.

The square root of 3992 is about 63.1822759957. The cubic root of 3992 is about 15.8634207830.

Subtracting from 3992 its sum of digits (23), we obtain a square (3969 = 63²).

Subtracting from 3992 its reverse (2993), we obtain a palindrome (999).

It can be divided in two parts, 39 and 92, that added together give a palindrome (131).

The spelling of 3992 in words is "three thousand, nine hundred ninety-two".