4005126 has 56 divisors (see below), whose sum is σ = 9364824. Its totient is φ = 1283040.

The previous prime is 4005121. The next prime is 4005137. The reversal of 4005126 is 6215004.

It is a happy number.

4005126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4005099 and 4005108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005121) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 59745 + ... + 59811.

It is an arithmetic number, because the mean of its divisors is an integer number (167229).

Almost surely, 2^4005126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682412).

4005126 is an abundant number, since it is smaller than the sum of its proper divisors (5359698).

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

4005126 is an equidigital number, since it uses as much as digits as its factorization.

4005126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4005126 is about 2001.2810897023. The cubic root of 4005126 is about 158.8078847335.

The spelling of 4005126 in words is "four million, five thousand, one hundred twenty-six".