9192782641 has 9 divisors (see below), whose sum is σ = 10694425899. Its totient is φ = 7878952704.

The previous prime is 9192782639. The next prime is 9192782663. The reversal of 9192782641 is 1462872919.

The square root of 9192782641 is 95879.

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., 225450225 + 8967332416 = 15015^2 + 94696^2 .

It is not a de Polignac number, because 9192782641 - 2¹ = 9192782639 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 (9192782671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 664305 + ... + 678001.

Almost surely, 2^9192782641 is an apocalyptic number.

9192782641 is the 95879-th square number.

9192782641 is the 47940-th centered octagonal number.

It is an amenable number.

9192782641 is a deficient number, since it is larger than the sum of its proper divisors (1501643258).

9192782641 is an frugal number, since it uses more digits than its factorization.

9192782641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27408 (or 13704 counting only the distinct ones).

The product of its digits is 435456, while the sum is 49.

The cubic root of 9192782641 is about 2094.8310244721.

Multiplying 9192782641 by its sum of digits (49), we get a square (450446349409 = 671153²).

9192782641 divided by its sum of digits (49) gives a square (187607809 = 13697²).

The spelling of 9192782641 in words is "nine billion, one hundred ninety-two million, seven hundred eighty-two thousand, six hundred forty-one".