10003004 has 48 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 4166400.

The previous prime is 10003003. The next prime is 10003027. The reversal of 10003004 is 40030001.

It is a junction number, because it is equal to n+sod(n) for n = 10002982 and 10003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003001) 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, 32009 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 2^10003004 is an apocalyptic number.

It is an amenable number.

10003004 is an abundant number, since it is smaller than the sum of its proper divisors (10753732).

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

10003004 is a wasteful number, since it uses less digits than its factorization.

10003004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10003004 is about 3162.7525986077. The cubic root of 10003004 is about 215.4650399161.

Adding to 10003004 its reverse (40030001), we get a palindrome (50033005).

It can be divided in two parts, 1000 and 3004, that added together give a palindrome (4004).

The spelling of 10003004 in words is "ten million, three thousand, four".