360213 has 16 divisors (see below), whose sum is σ = 581760. Its totient is φ = 193536.

The previous prime is 360197. The next prime is 360223. The reversal of 360213 is 312063.

It is not a de Polignac number, because 360213 - 2⁴ = 360197 is a prime.

360213 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 360192 and 360201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360213.

It is not an unprimeable number, because it can be changed into a prime (360223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (36360).

2³⁶⁰²¹³ is an apocalyptic number.

It is an amenable number.

360213 is a deficient number, since it is larger than the sum of its proper divisors (221547).

360213 is a wasteful number, since it uses less digits than its factorization.

360213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 360213 is about 600.1774737526. The cubic root of 360213 is about 71.1518932917.

Adding to 360213 its reverse (312063), we get a palindrome (672276).

The spelling of 360213 in words is "three hundred sixty thousand, two hundred thirteen".