10005387 has 16 divisors (see below), whose sum is σ = 15366912. Its totient is φ = 5672160.

The previous prime is 10005379. The next prime is 10005389. The reversal of 10005387 is 78350001.

10005387 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005387 - 2³ = 10005379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (960432).

Almost surely, 2^10005387 is an apocalyptic number.

10005387 is a deficient number, since it is larger than the sum of its proper divisors (5361525).

10005387 is a wasteful number, since it uses less digits than its factorization.

10005387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10005387 is about 3163.1293049763. The cubic root of 10005387 is about 215.4821485241.

Adding to 10005387 its reverse (78350001), we get a palindrome (88355388).

The spelling of 10005387 in words is "ten million, five thousand, three hundred eighty-seven".