1004013 has 12 divisors (see below), whose sum is σ = 1459068. Its totient is φ = 665280.

The previous prime is 1003963. The next prime is 1004027. The reversal of 1004013 is 3104001.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 328329 = 822^2 + 573^2 .

It is not a de Polignac number, because 1004013 - 2⁸ = 1003757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1003986 and 1004004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2331 + ... + 2727.

It is an arithmetic number, because the mean of its divisors is an integer number (121589).

2^1004013 is an apocalyptic number.

It is an amenable number.

1004013 is a deficient number, since it is larger than the sum of its proper divisors (455055).

1004013 is a wasteful number, since it uses less digits than its factorization.

1004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1004013 is about 1002.0044910079. The cubic root of 1004013 is about 100.1335881293.

Subtracting from 1004013 its product of nonzero digits (12), we obtain a palindrome (1004001).

Adding to 1004013 its reverse (3104001), we get a palindrome (4108014).

The spelling of 1004013 in words is "one million, four thousand, thirteen".