9003249 has 12 divisors (see below), whose sum is σ = 13140036. Its totient is φ = 5939712.

The previous prime is 9003233. The next prime is 9003263. The reversal of 9003249 is 9423009.

9003249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 5130225 = 1968^2 + 2265^2 .

It is not a de Polignac number, because 9003249 - 2⁴ = 9003233 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9003209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4284 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (1095003).

Almost surely, 2^9003249 is an apocalyptic number.

It is an amenable number.

9003249 is a deficient number, since it is larger than the sum of its proper divisors (4136787).

9003249 is a wasteful number, since it uses less digits than its factorization.

9003249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10416 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9003249 is about 3000.5414511384. The cubic root of 9003249 is about 208.0334096358.

It can be divided in two parts, 900 and 3249, that multiplied together give a square (2924100 = 1710²).

The spelling of 9003249 in words is "nine million, three thousand, two hundred forty-nine".