73839649 has 9 divisors (see below), whose sum is σ = 80077689. Its totient is φ = 68056560.

The previous prime is 73839607. The next prime is 73839671. The reversal of 73839649 is 94693837.

The square root of 73839649 is 8593.

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 429025 + 73410624 = 655^2 + 8568^2 .

It is not a de Polignac number, because 73839649 - 2⁹ = 73839137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73839049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111379 + ... + 112039.

It is an arithmetic number, because the mean of its divisors is an integer number (8897521).

Almost surely, 2^73839649 is an apocalyptic number.

73839649 is the 8593-rd square number.

73839649 is the 4297-th centered octagonal number.

It is an amenable number.

73839649 is a deficient number, since it is larger than the sum of its proper divisors (6238040).

73839649 is an frugal number, since it uses more digits than its factorization.

73839649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 674 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The cubic root of 73839649 is about 419.5301794827.

Multiplying 73839649 by its sum of digits (49), we get a square (3618142801 = 60151²).

The spelling of 73839649 in words is "seventy-three million, eight hundred thirty-nine thousand, six hundred forty-nine".