892342840321 has 27 divisors (see below), whose sum is σ = 956302314057. Its totient is φ = 832491457920.

The previous prime is 892342840309. The next prime is 892342840387. The reversal of 892342840321 is 123048243298.

The square root of 892342840321 is 944639.

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

It can be written as a sum of positive squares in 4 ways, for example, as 125730522225 + 766612318096 = 354585^2 + 875564^2 .

It is not a de Polignac number, because 892342840321 - 2⁹ = 892342839809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (892342840391) 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 26 ways as a sum of consecutive naturals, for example, 2906654050 + ... + 2906654356.

Almost surely, 2^892342840321 is an apocalyptic number.

892342840321 is the 944639-th square number.

892342840321 is the 472320-th centered octagonal number.

It is an amenable number.

892342840321 is a deficient number, since it is larger than the sum of its proper divisors (63959473736).

892342840321 is an frugal number, since it uses more digits than its factorization.

892342840321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 892342840321 in words is "eight hundred ninety-two billion, three hundred forty-two million, eight hundred forty thousand, three hundred twenty-one".