360013 has 4 divisors (see below), whose sum is σ = 362268. Its totient is φ = 357760.

The previous prime is 360007. The next prime is 360023. The reversal of 360013 is 310063.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 243049 + 116964 = 493^2 + 342^2 .

It is a cyclic number.

It is not a de Polignac number, because 360013 - 2⁵ = 359981 is a prime.

It is a Duffinian number.

360013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 359975 and 360002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 868 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (90567).

2³⁶⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

360013 is a deficient number, since it is larger than the sum of its proper divisors (2255).

360013 is a wasteful number, since it uses less digits than its factorization.

360013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 360013 is about 600.0108332355. The cubic root of 360013 is about 71.1387223686.

Subtracting from 360013 its sum of digits (13), we obtain a square (360000 = 600²).

Adding to 360013 its reverse (310063), we get a palindrome (670076).

The spelling of 360013 in words is "three hundred sixty thousand, thirteen".