10005827 has 8 divisors (see below), whose sum is σ = 10832976. Its totient is φ = 9186912.

The previous prime is 10005823. The next prime is 10005829. The reversal of 10005827 is 72850001.

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 10005827 - 2² = 10005823 is a prime.

It is a Duffinian number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608 + ... + 4514.

It is an arithmetic number, because the mean of its divisors is an integer number (1354122).

Almost surely, 2^10005827 is an apocalyptic number.

10005827 is a deficient number, since it is larger than the sum of its proper divisors (827149).

10005827 is a wasteful number, since it uses less digits than its factorization.

10005827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 10005827 is about 3163.1988555891. The cubic root of 10005827 is about 215.4853071810.

Adding to 10005827 its reverse (72850001), we get a palindrome (82855828).

The spelling of 10005827 in words is "ten million, five thousand, eight hundred twenty-seven".