846105993 has 10 divisors (see below), whose sum is σ = 1263936234. Its totient is φ = 564070608.

The previous prime is 846105959. The next prime is 846106021. The reversal of 846105993 is 399501648.

It is a happy number.

846105993 is a `hidden beast` number, since 8 + 46 + 10 + 599 + 3 = 666.

846105993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 665794809 + 180311184 = 25803^2 + 13428^2 .

It is not a de Polignac number, because 846105993 - 2⁸ = 846105737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (846105913) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5222796 + ... + 5222957.

Almost surely, 2^846105993 is an apocalyptic number.

It is an amenable number.

846105993 is a deficient number, since it is larger than the sum of its proper divisors (417830241).

846105993 is a wasteful number, since it uses less digits than its factorization.

846105993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445765 (or 10445756 counting only the distinct ones).

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

The square root of 846105993 is about 29087.9011446340. The cubic root of 846105993 is about 945.8194856755.

The spelling of 846105993 in words is "eight hundred forty-six million, one hundred five thousand, nine hundred ninety-three".