10005461 has 4 divisors (see below), whose sum is σ = 10012992. Its totient is φ = 9997932.

The previous prime is 10005451. The next prime is 10005473. The reversal of 10005461 is 16450001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10005461 - 2¹⁸ = 9743317 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 (10005421) 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 3 ways as a sum of consecutive naturals, for example, 1181 + ... + 4626.

It is an arithmetic number, because the mean of its divisors is an integer number (2503248).

Almost surely, 2^10005461 is an apocalyptic number.

It is an amenable number.

10005461 is a deficient number, since it is larger than the sum of its proper divisors (7531).

10005461 is an equidigital number, since it uses as much as digits as its factorization.

10005461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530.

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

The square root of 10005461 is about 3163.1410022318. The cubic root of 10005461 is about 215.4826797592.

Adding to 10005461 its reverse (16450001), we get a palindrome (26455462).

The spelling of 10005461 in words is "ten million, five thousand, four hundred sixty-one".