9997782353329 has 9 divisors (see below), whose sum is σ = 10190149759083. Its totient is φ = 9808980530232.

The previous prime is 9997782353327. The next prime is 9997782353369. The reversal of 9997782353329 is 9233532877999.

The square root of 9997782353329 is 3161927.

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., 7207372469025 + 2790409884304 = 2684655^2 + 1670452^2 .

It is not a de Polignac number, because 9997782353329 - 2¹ = 9997782353327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9997782353327) 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, 167552302 + ... + 167611960.

Almost surely, 2^{9997782353329} is an apocalyptic number.

9997782353329 is the 3161927-th square number.

9997782353329 is the 1580964-th centered octagonal number.

It is an amenable number.

9997782353329 is a deficient number, since it is larger than the sum of its proper divisors (192367405754).

9997782353329 is an frugal number, since it uses more digits than its factorization.

9997782353329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119424 (or 59712 counting only the distinct ones).

The product of its digits is 1388832480, while the sum is 76.

The spelling of 9997782353329 in words is "nine trillion, nine hundred ninety-seven billion, seven hundred eighty-two million, three hundred fifty-three thousand, three hundred twenty-nine".