10004 has 12 divisors (see below), whose sum is σ = 18228. Its totient is φ = 4800.

The previous prime is 9973. The next prime is 10007. The reversal of 10004 is 40001.

It can be written as a sum of positive squares in 2 ways, for example, as 400 + 9604 = 20^2 + 98^2 .

10004 is an undulating number in base 11.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 10004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (1519).

2¹⁰⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

10004 is a deficient number, since it is larger than the sum of its proper divisors (8224).

10004 is a wasteful number, since it uses less digits than its factorization.

10004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 10004 is about 100.0199980004. The cubic root of 10004 is about 21.5472190970.

Adding to 10004 its reverse (40001), we get a palindrome (50005).

The spelling of 10004 in words is "ten thousand, four", and thus it is an iban number.