4005882 has 32 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1291680.

The previous prime is 4005847. The next prime is 4005889. The reversal of 4005882 is 2885004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4005889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478 + ... + 2870.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^4005882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

4005882 is an abundant number, since it is smaller than the sum of its proper divisors (5187078).

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

4005882 is a wasteful number, since it uses less digits than its factorization.

4005882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4005882 is about 2001.4699598045. The cubic root of 4005882 is about 158.8178761967.

The spelling of 4005882 in words is "four million, five thousand, eight hundred eighty-two".