10005413 has 8 divisors (see below), whose sum is σ = 10942560. Its totient is φ = 9072880.

The previous prime is 10005389. The next prime is 10005421. The reversal of 10005413 is 31450001.

10005413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005413 - 2⁶ = 10005349 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 (10005473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4706 + ... + 6492.

It is an arithmetic number, because the mean of its divisors is an integer number (1367820).

Almost surely, 2^10005413 is an apocalyptic number.

It is an amenable number.

10005413 is a deficient number, since it is larger than the sum of its proper divisors (937147).

10005413 is a wasteful number, since it uses less digits than its factorization.

10005413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10005413 is about 3163.1334148278. The cubic root of 10005413 is about 215.4823351745.

Adding to 10005413 its reverse (31450001), we get a palindrome (41455414).

The spelling of 10005413 in words is "ten million, five thousand, four hundred thirteen".