232217008321 has 9 divisors (see below), whose sum is σ = 234420009033. Its totient is φ = 230034533040.

The previous prime is 232217008307. The next prime is 232217008351. The reversal of 232217008321 is 123800712232.

The square root of 232217008321 is 481889.

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 66274838721 + 165942169600 = 257439^2 + 407360^2 .

It is not a de Polignac number, because 232217008321 - 2³¹ = 230069524673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232217008351) 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, 52523691 + ... + 52528111.

Almost surely, 2^232217008321 is an apocalyptic number.

232217008321 is the 481889-th square number.

232217008321 is the 240945-th centered octagonal number.

It is an amenable number.

232217008321 is a deficient number, since it is larger than the sum of its proper divisors (2203000712).

232217008321 is an frugal number, since it uses more digits than its factorization.

232217008321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 232217008321 in words is "two hundred thirty-two billion, two hundred seventeen million, eight thousand, three hundred twenty-one".