830937393 has 128 divisors (see below), whose sum is σ = 1561190400. Its totient is φ = 429235200.

The previous prime is 830937337. The next prime is 830937397. The reversal of 830937393 is 393739038.

It is not a de Polignac number, because 830937393 - 2⁸ = 830937137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (830937397) 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 127 ways as a sum of consecutive naturals, for example, 3447753 + ... + 3447993.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2^830937393 is an apocalyptic number.

It is an amenable number.

830937393 is a deficient number, since it is larger than the sum of its proper divisors (730253007).

830937393 is a wasteful number, since it uses less digits than its factorization.

830937393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 830937393 is about 28825.9846839618. The cubic root of 830937393 is about 940.1332966998.

The spelling of 830937393 in words is "eight hundred thirty million, nine hundred thirty-seven thousand, three hundred ninety-three".