9435985321 has 9 divisors (see below), whose sum is σ = 10977345399. Its totient is φ = 8087404584.

The previous prime is 9435985309. The next prime is 9435985331. The reversal of 9435985321 is 1235895349.

The square root of 9435985321 is 97139.

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., 705699225 + 8730286096 = 26565^2 + 93436^2 .

It is not a de Polignac number, because 9435985321 - 2⁵ = 9435985289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9435985301) 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, 673035 + ... + 686911.

Almost surely, 2^9435985321 is an apocalyptic number.

9435985321 is the 97139-th square number.

9435985321 is the 48570-th centered octagonal number.

It is an amenable number.

9435985321 is a deficient number, since it is larger than the sum of its proper divisors (1541360078).

9435985321 is an frugal number, since it uses more digits than its factorization.

9435985321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27768 (or 13884 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The cubic root of 9435985321 is about 2113.1439635972.

Multiplying 9435985321 by its sum of digits (49), we get a square (462363280729 = 679973²).

9435985321 divided by its sum of digits (49) gives a square (192571129 = 13877²).

The spelling of 9435985321 in words is "nine billion, four hundred thirty-five million, nine hundred eighty-five thousand, three hundred twenty-one".