10005738 has 8 divisors (see below), whose sum is σ = 20011488. Its totient is φ = 3335244.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005738 is 83750001.

10005738 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.

10005738 is an admirable number.

It is a super-2 number, since 2×10005738² = 200229585849288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 833806 + ... + 833817.

It is an arithmetic number, because the mean of its divisors is an integer number (2501436).

Almost surely, 2^10005738 is an apocalyptic number.

10005738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005738 is a wasteful number, since it uses less digits than its factorization.

10005738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667628.

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

The square root of 10005738 is about 3163.1847875203. The cubic root of 10005738 is about 215.4846682783.

Adding to 10005738 its reverse (83750001), we get a palindrome (93755739).

The spelling of 10005738 in words is "ten million, five thousand, seven hundred thirty-eight".