4004892 has 36 divisors (see below), whose sum is σ = 10319400. Its totient is φ = 1309152.

The previous prime is 4004887. The next prime is 4004909. The reversal of 4004892 is 2984004.

4004892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 859 + ... + 2957.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^4004892 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 4004892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159700).

4004892 is an abundant number, since it is smaller than the sum of its proper divisors (6314508).

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

4004892 is a wasteful number, since it uses less digits than its factorization.

4004892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4004892 is about 2001.2226262962. Note that the first 3 decimals coincide. The cubic root of 4004892 is about 158.8047918829.

Adding to 4004892 its reverse (2984004), we get a palindrome (6988896).

The spelling of 4004892 in words is "four million, four thousand, eight hundred ninety-two".