3892 has 12 divisors (see below), whose sum is σ = 7840. Its totient is φ = 1656.

The previous prime is 3889. The next prime is 3907. The reversal of 3892 is 2983.

3892 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 15.

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 in 3 ways as a sum of consecutive naturals, for example, 42 + ... + 97.

2³⁸⁹² is an apocalyptic number.

It is an amenable number.

3892 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (3920).

3892 is a wasteful number, since it uses less digits than its factorization.

3892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

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

The square root of 3892 is about 62.3858958419. The cubic root of 3892 is about 15.7298389890.

Subtracting from 3892 its reverse (2983), we obtain a palindrome (909).

The spelling of 3892 in words is "three thousand, eight hundred ninety-two".