10805249 has 8 divisors (see below), whose sum is σ = 13298880. Its totient is φ = 8549136.

The previous prime is 10805237. The next prime is 10805257. The reversal of 10805249 is 94250801.

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 10805249 - 2¹⁶ = 10739713 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10805209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59279 + ... + 59460.

It is an arithmetic number, because the mean of its divisors is an integer number (1662360).

It is a Proth number, since it is equal to 1319 ⋅ 2¹³ + 1 and 1319 < 2¹³.

Almost surely, 2^10805249 is an apocalyptic number.

It is an amenable number.

10805249 is a deficient number, since it is larger than the sum of its proper divisors (2493631).

10805249 is a wasteful number, since it uses less digits than its factorization.

10805249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118759.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 10805249 is about 3287.1338579376. The cubic root of 10805249 is about 221.0776942691.

The spelling of 10805249 in words is "ten million, eight hundred five thousand, two hundred forty-nine".