712784993 has 16 divisors (see below), whose sum is σ = 766584000. Its totient is φ = 660366336.

The previous prime is 712784971. The next prime is 712785011. The reversal of 712784993 is 399487217.

712784993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 712784993 - 2⁶ = 712784929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712784923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474758 + ... + 476256.

It is an arithmetic number, because the mean of its divisors is an integer number (47911500).

Almost surely, 2^712784993 is an apocalyptic number.

It is an amenable number.

712784993 is a deficient number, since it is larger than the sum of its proper divisors (53799007).

712784993 is a wasteful number, since it uses less digits than its factorization.

712784993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936.

The product of its digits is 762048, while the sum is 50.

The square root of 712784993 is about 26698.0335043613. The cubic root of 712784993 is about 893.2770627875.

The spelling of 712784993 in words is "seven hundred twelve million, seven hundred eighty-four thousand, nine hundred ninety-three".