830085993 has 24 divisors (see below), whose sum is σ = 1325943840. Its totient is φ = 496186560.

The previous prime is 830085967. The next prime is 830086021. The reversal of 830085993 is 399580038.

It is not a de Polignac number, because 830085993 - 2⁶ = 830085929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (830085913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50203 + ... + 64656.

It is an arithmetic number, because the mean of its divisors is an integer number (55247660).

Almost surely, 2^830085993 is an apocalyptic number.

It is an amenable number.

830085993 is a deficient number, since it is larger than the sum of its proper divisors (495857847).

830085993 is a wasteful number, since it uses less digits than its factorization.

830085993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114949 (or 114946 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 830085993 is about 28811.2129734241. The cubic root of 830085993 is about 939.8120919851.

The spelling of 830085993 in words is "eight hundred thirty million, eighty-five thousand, nine hundred ninety-three".