9783952340761 has 81 divisors (see below), whose sum is σ = 10934647078719. Its totient is φ = 8753202110400.

The previous prime is 9783952340711. The next prime is 9783952340801. The reversal of 9783952340761 is 1670432593879.

The square root of 9783952340761 is 3127931.

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., 471445651161 + 9312506689600 = 686619^2 + 3051640^2 .

It is not a de Polignac number, because 9783952340761 - 2⁷ = 9783952340633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9783952340693 and 9783952340702.

It is not an unprimeable number, because it can be changed into a prime (9783952340711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 91438806870 + ... + 91438806976.

It is a 1-persistent number, because it is pandigital, but 2⋅9783952340761 = 19567904681522 is not.

Almost surely, 2^{9783952340761} is an apocalyptic number.

9783952340761 is the 3127931-st square number.

9783952340761 is the 1563966-th centered octagonal number.

It is an amenable number.

9783952340761 is a deficient number, since it is larger than the sum of its proper divisors (1150694737958).

9783952340761 is an equidigital number, since it uses as much as digits as its factorization.

9783952340761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

Multiplying 9783952340761 by its sum of digits (64), we get a square (626172949808704 = 25023448²).

The spelling of 9783952340761 in words is "nine trillion, seven hundred eighty-three billion, nine hundred fifty-two million, three hundred forty thousand, seven hundred sixty-one".