793041921 has 63 divisors (see below), whose sum is σ = 1392489651. Its totient is φ = 450125424.

The previous prime is 793041889. The next prime is 793041929. The reversal of 793041921 is 129140397.

The square root of 793041921 is 28161.

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., 92910321 + 700131600 = 9639^2 + 26460^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 793041921 - 2⁵ = 793041889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (793041929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5322355 + ... + 5322503.

Almost surely, 2^793041921 is an apocalyptic number.

793041921 is the 28161-st square number.

793041921 is the 14081-st centered octagonal number.

It is an amenable number.

793041921 is a deficient number, since it is larger than the sum of its proper divisors (599447730).

793041921 is an frugal number, since it uses more digits than its factorization.

793041921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 793041921 is about 925.6185474733.

Multiplying 793041921 by its sum of digits (36), we get a square (28549509156 = 168966²).

It can be divided in two parts, 79304 and 1921, that added together give a square (81225 = 285²).

The spelling of 793041921 in words is "seven hundred ninety-three million, forty-one thousand, nine hundred twenty-one".