320946813 has 48 divisors (see below), whose sum is σ = 539660800. Its totient is φ = 188179200.

The previous prime is 320946793. The next prime is 320946827. The reversal of 320946813 is 318649023.

It is not a de Polignac number, because 320946813 - 2¹⁰ = 320945789 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320946863) 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 47 ways as a sum of consecutive naturals, for example, 99693 + ... + 102861.

Almost surely, 2^320946813 is an apocalyptic number.

320946813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

320946813 is a deficient number, since it is larger than the sum of its proper divisors (218713987).

320946813 is a wasteful number, since it uses less digits than its factorization.

320946813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 320946813 is about 17914.9885012522. The cubic root of 320946813 is about 684.6643092073.

The spelling of 320946813 in words is "three hundred twenty million, nine hundred forty-six thousand, eight hundred thirteen".