1818084321 has 27 divisors (see below), whose sum is σ = 2681386617. Its totient is φ = 1187069760.

The previous prime is 1818084313. The next prime is 1818084337. The reversal of 1818084321 is 1234808181.

The square root of 1818084321 is 42639.

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

1818084321 is a `hidden beast` number, since 181 + 80 + 84 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1154300625 + 663783696 = 33975^2 + 25764^2 .

It is not a de Polignac number, because 1818084321 - 2³ = 1818084313 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1818084341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7802821 + ... + 7803053.

Almost surely, 2^1818084321 is an apocalyptic number.

1818084321 is the 42639-th square number.

1818084321 is the 21320-th centered octagonal number.

It is an amenable number.

1818084321 is a deficient number, since it is larger than the sum of its proper divisors (863302296).

1818084321 is an frugal number, since it uses more digits than its factorization.

1818084321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The cubic root of 1818084321 is about 1220.5006278722.

Multiplying 1818084321 by its sum of digits (36), we get a square (65451035556 = 255834²).

The spelling of 1818084321 in words is "one billion, eight hundred eighteen million, eighty-four thousand, three hundred twenty-one".