818589321 has 75 divisors (see below), whose sum is σ = 1428108913. Its totient is φ = 466931520.

The previous prime is 818589319. The next prime is 818589349. The reversal of 818589321 is 123985818.

It is a happy number.

The square root of 818589321 is 28611.

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

It can be written as a sum of positive squares in 2 ways, for example, as 254051721 + 564537600 = 15939^2 + 23760^2 .

It is not a de Polignac number, because 818589321 - 2¹ = 818589319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (818589311) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 48152305 + ... + 48152321.

Almost surely, 2^818589321 is an apocalyptic number.

818589321 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

818589321 is the 28611-st square number.

818589321 is the 14306-th centered octagonal number.

It is an amenable number.

818589321 is a deficient number, since it is larger than the sum of its proper divisors (609519592).

818589321 is an frugal number, since it uses more digits than its factorization.

818589321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 31 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The cubic root of 818589321 is about 935.4531137128.

The spelling of 818589321 in words is "eight hundred eighteen million, five hundred eighty-nine thousand, three hundred twenty-one".