8301214321 has 9 divisors (see below), whose sum is σ = 8364281611. Its totient is φ = 8238621064.

The previous prime is 8301214283. The next prime is 8301214333. The reversal of 8301214321 is 1234121038.

It is a happy number.

The square root of 8301214321 is 91111.

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

It can be written as a sum of positive squares in only one way, i.e., 6750429921 + 1550784400 = 82161^2 + 39380^2 .

It is not a de Polignac number, because 8301214321 - 2¹⁹ = 8300690033 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8301214351) 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, 16308615 + ... + 16309123.

Almost surely, 2^8301214321 is an apocalyptic number.

8301214321 is the 91111-st square number.

8301214321 is the 45556-th centered octagonal number.

It is an amenable number.

8301214321 is a deficient number, since it is larger than the sum of its proper divisors (63067290).

8301214321 is an frugal number, since it uses more digits than its factorization.

8301214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 8301214321 is about 2024.7925872814.

Multiplying 8301214321 by its sum of digits (25), we get a square (207530358025 = 455555²).

Adding to 8301214321 its reverse (1234121038), we get a palindrome (9535335359).

The spelling of 8301214321 in words is "eight billion, three hundred one million, two hundred fourteen thousand, three hundred twenty-one".