10006249 has 8 divisors (see below), whose sum is σ = 11079648. Its totient is φ = 8960160.

The previous prime is 10006207. The next prime is 10006261. The reversal of 10006249 is 94260001.

10006249 is nontrivially palindromic in base 14.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10006249 - 2⁷ = 10006121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6052 + ... + 7525.

It is an arithmetic number, because the mean of its divisors is an integer number (1384956).

Almost surely, 2^10006249 is an apocalyptic number.

It is an amenable number.

10006249 is a deficient number, since it is larger than the sum of its proper divisors (1073399).

10006249 is a wasteful number, since it uses less digits than its factorization.

10006249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10006249 is about 3163.2655595128. The cubic root of 10006249 is about 215.4883365332.

The spelling of 10006249 in words is "ten million, six thousand, two hundred forty-nine".