10004561 has 12 divisors (see below), whose sum is σ = 11700288. Its totient is φ = 8379912.

The previous prime is 10004557. The next prime is 10004573. The reversal of 10004561 is 16540001.

It is a happy number.

It is not a de Polignac number, because 10004561 - 2² = 10004557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004521) 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, 15140 + ... + 15786.

It is an arithmetic number, because the mean of its divisors is an integer number (975024).

Almost surely, 2^10004561 is an apocalyptic number.

It is an amenable number.

10004561 is a deficient number, since it is larger than the sum of its proper divisors (1695727).

10004561 is an frugal number, since it uses more digits than its factorization.

10004561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10004561 is about 3162.9987353776. The cubic root of 10004561 is about 215.4762186134.

Adding to 10004561 its reverse (16540001), we get a palindrome (26544562).

The spelling of 10004561 in words is "ten million, four thousand, five hundred sixty-one".