320013 has 18 divisors (see below), whose sum is σ = 490542. Its totient is φ = 200880.

The previous prime is 320011. The next prime is 320027. The reversal of 320013 is 310023.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 8649 = 558^2 + 93^2 .

It is not a de Polignac number, because 320013 - 2¹ = 320011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 319977 and 320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8631 + ... + 8667.

2³²⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

320013 is a deficient number, since it is larger than the sum of its proper divisors (170529).

320013 is a wasteful number, since it uses less digits than its factorization.

320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 320013 is about 565.6969153177. The cubic root of 320013 is about 68.3999640915.

Adding to 320013 its reverse (310023), we get a palindrome (630036).

The spelling of 320013 in words is "three hundred twenty thousand, thirteen".