4006004 has 6 divisors (see below), whose sum is σ = 7010514. Its totient is φ = 2003000.

The previous prime is 4006001. The next prime is 4006007.

It is a happy number.

4006004 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4006001) and next prime (4006007).

It can be written as a sum of positive squares in only one way, i.e., 2729104 + 1276900 = 1652^2 + 1130^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4006004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500747 + ... + 500754.

It is an arithmetic number, because the mean of its divisors is an integer number (1168419).

Almost surely, 2^4006004 is an apocalyptic number.

It is an amenable number.

4006004 is a deficient number, since it is larger than the sum of its proper divisors (3004510).

4006004 is a wasteful number, since it uses less digits than its factorization.

4006004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001505 (or 1001503 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4006004 is about 2001.5004371721. The cubic root of 4006004 is about 158.8194884579.

The spelling of 4006004 in words is "four million, six thousand, four", and thus it is an eban number.