9003500 has 48 divisors (see below), whose sum is σ = 21464352. Its totient is φ = 3272000.

The previous prime is 9003497. The next prime is 9003517. The reversal of 9003500 is 53009.

It is an Ulam number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4682 + ... + 6318.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 2^9003500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9003500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176).

9003500 is an abundant number, since it is smaller than the sum of its proper divisors (12460852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9003500 is a wasteful number, since it uses less digits than its factorization.

9003500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 9003500 is about 3000.5832766314. The cubic root of 9003500 is about 208.0353428602.

Adding to 9003500 its reverse (53009), we get a palindrome (9056509).

It can be divided in two parts, 9003 and 500, that multiplied together give a triangular number (4501500 = T₃₀₀₀).

The spelling of 9003500 in words is "nine million, three thousand, five hundred".