10005813 has 6 divisors (see below), whose sum is σ = 14452854. Its totient is φ = 6670536.

The previous prime is 10005791. The next prime is 10005823. The reversal of 10005813 is 31850001.

It is a happy number.

10005813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 7569 = 3162^2 + 87^2 .

It is not a de Polignac number, because 10005813 - 2¹³ = 9997621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555870 + ... + 555887.

It is an arithmetic number, because the mean of its divisors is an integer number (2408809).

Almost surely, 2^10005813 is an apocalyptic number.

It is an amenable number.

10005813 is a deficient number, since it is larger than the sum of its proper divisors (4447041).

10005813 is a wasteful number, since it uses less digits than its factorization.

10005813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111763 (or 1111760 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10005813 is about 3163.1966426386. The cubic root of 10005813 is about 215.4852066797.

Adding to 10005813 its reverse (31850001), we get a palindrome (41855814).

The spelling of 10005813 in words is "ten million, five thousand, eight hundred thirteen".