321313005 has 48 divisors (see below), whose sum is σ = 635085360. Its totient is φ = 148875264.

The previous prime is 321312991. The next prime is 321313007. The reversal of 321313005 is 500313123.

It can be written as a sum of positive squares in 8 ways, for example, as 5788836 + 315524169 = 2406^2 + 17763^2 .

It is not a de Polignac number, because 321313005 - 2⁵ = 321312973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321313007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6210 + ... + 26099.

It is an arithmetic number, because the mean of its divisors is an integer number (13230945).

Almost surely, 2^321313005 is an apocalyptic number.

It is an amenable number.

321313005 is a deficient number, since it is larger than the sum of its proper divisors (313772355).

321313005 is a wasteful number, since it uses less digits than its factorization.

321313005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32350 (or 32347 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 321313005 is about 17925.2058565585. The cubic root of 321313005 is about 684.9246049827.

Adding to 321313005 its reverse (500313123), we get a palindrome (821626128).

The spelling of 321313005 in words is "three hundred twenty-one million, three hundred thirteen thousand, five".