2003547121 has 9 divisors (see below), whose sum is σ = 2129144161. Its totient is φ = 1884975232.

The previous prime is 2003547113. The next prime is 2003547127. The reversal of 2003547121 is 1217453002.

It is a happy number.

The square root of 2003547121 is 44761.

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 10817521 + 1992729600 = 3289^2 + 44640^2 .

It is not a de Polignac number, because 2003547121 - 2³ = 2003547113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003547127) 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, 759621 + ... + 762253.

Almost surely, 2^2003547121 is an apocalyptic number.

2003547121 is the 44761-st square number.

2003547121 is the 22381-st centered octagonal number.

It is an amenable number.

2003547121 is a deficient number, since it is larger than the sum of its proper divisors (125597040).

2003547121 is an frugal number, since it uses more digits than its factorization.

2003547121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The cubic root of 2003547121 is about 1260.6654587192.

Multiplying 2003547121 by its sum of digits (25), we get a square (50088678025 = 223805²).

The spelling of 2003547121 in words is "two billion, three million, five hundred forty-seven thousand, one hundred twenty-one".