9003534346921 has 9 divisors (see below), whose sum is σ = 9253563941349. Its totient is φ = 8760087559584.

The previous prime is 9003534346883. The next prime is 9003534346927. The reversal of 9003534346921 is 1296434353009.

The square root of 9003534346921 is 3000589.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7098968743321 + 1904565603600 = 2664389^2 + 1380060^2 .

It is not a de Polignac number, because 9003534346921 - 2¹⁵ = 9003534314153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9003534346927) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110981245 + ... + 111062341.

It is an arithmetic number, because the mean of its divisors is an integer number (1028173771261).

Almost surely, 2^{9003534346921} is an apocalyptic number.

9003534346921 is the 3000589-th square number.

9003534346921 is the 1500295-th centered octagonal number.

It is an amenable number.

9003534346921 is a deficient number, since it is larger than the sum of its proper divisors (250029594428).

9003534346921 is an frugal number, since it uses more digits than its factorization.

9003534346921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162268 (or 81134 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

Multiplying 9003534346921 by its sum of digits (49), we get a square (441173182999129 = 21004123²).

The spelling of 9003534346921 in words is "nine trillion, three billion, five hundred thirty-four million, three hundred forty-six thousand, nine hundred twenty-one".