9003764 has 96 divisors (see below), whose sum is σ = 21676032. Its totient is φ = 3168000.

The previous prime is 9003749. The next prime is 9003767. The reversal of 9003764 is 4673009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9003767) 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 31 ways as a sum of consecutive naturals, for example, 219584 + ... + 219624.

It is an arithmetic number, because the mean of its divisors is an integer number (225792).

Almost surely, 2^9003764 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 9003764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838016).

9003764 is an abundant number, since it is smaller than the sum of its proper divisors (12672268).

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

9003764 is a wasteful number, since it uses less digits than its factorization.

9003764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 9003764 is about 3000.6272677559. The cubic root of 9003764 is about 208.0373761729.

It can be divided in two parts, 900 and 3764, that added together give a palindrome (4664).

The spelling of 9003764 in words is "nine million, three thousand, seven hundred sixty-four".