10007849 has 8 divisors (see below), whose sum is σ = 10627848. Its totient is φ = 9391360.

The previous prime is 10007839. The next prime is 10007867. The reversal of 10007849 is 94870001.

It can be written as a sum of positive squares in 4 ways, for example, as 2544025 + 7463824 = 1595^2 + 2732^2 .

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 10007849 - 2⁸ = 10007593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007819) 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, 7199 + ... + 8475.

It is an arithmetic number, because the mean of its divisors is an integer number (1328481).

Almost surely, 2^10007849 is an apocalyptic number.

It is an amenable number.

10007849 is a deficient number, since it is larger than the sum of its proper divisors (619999).

10007849 is a wasteful number, since it uses less digits than its factorization.

10007849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10007849 is about 3163.5184526094. The cubic root of 10007849 is about 215.4998214550.

The spelling of 10007849 in words is "ten million, seven thousand, eight hundred forty-nine".