846653313 has 32 divisors (see below), whose sum is σ = 1245744000. Its totient is φ = 507225600.

The previous prime is 846653293. The next prime is 846653377. The reversal of 846653313 is 313356648.

It is not a de Polignac number, because 846653313 - 2¹⁷ = 846522241 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (846653113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010843 + ... + 2011263.

It is an arithmetic number, because the mean of its divisors is an integer number (38929500).

Almost surely, 2^846653313 is an apocalyptic number.

It is an amenable number.

846653313 is a deficient number, since it is larger than the sum of its proper divisors (399090687).

846653313 is a wasteful number, since it uses less digits than its factorization.

846653313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993.

The product of its digits is 155520, while the sum is 39.

The square root of 846653313 is about 29097.3076589570. The cubic root of 846653313 is about 946.0233822498.

It can be divided in two parts, 84665 and 3313, that added together give a palindrome (87978).

The spelling of 846653313 in words is "eight hundred forty-six million, six hundred fifty-three thousand, three hundred thirteen".