4001004 has 36 divisors (see below), whose sum is σ = 11559184. Its totient is φ = 1143072.

The previous prime is 4001003. The next prime is 4001009.

4001004 is nontrivially palindromic in base 10.

4001004 is digitally balanced in base 8, 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 a Harshad number since it is a multiple of its sum of digits (9).

4001004 is strictly pandigital in base 8.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7687 + ... + 8190.

Almost surely, 2^4001004 is an apocalyptic number.

It is an amenable number.

4001004 is an abundant number, since it is smaller than the sum of its proper divisors (7558180).

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

4001004 is a wasteful number, since it uses less digits than its factorization.

4001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15894 (or 15889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4001004 is about 2000.2509842517. The cubic root of 4001004 is about 158.7533853412.

The spelling of 4001004 in words is "four million, one thousand, four".