213813 has 8 divisors (see below), whose sum is σ = 316800. Its totient is φ = 142524.

The previous prime is 213799. The next prime is 213821. The reversal of 213813 is 318312.

213813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213813 - 2⁸ = 213557 is a prime.

It is a nialpdrome in base 13.

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 213813.

It is not an unprimeable number, because it can be changed into a prime (213833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3933 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2²¹³⁸¹³ is an apocalyptic number.

It is an amenable number.

213813 is a deficient number, since it is larger than the sum of its proper divisors (102987).

213813 is an equidigital number, since it uses as much as digits as its factorization.

213813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7922 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 213813 is about 462.3991782000. The cubic root of 213813 is about 59.7968126920.

The spelling of 213813 in words is "two hundred thirteen thousand, eight hundred thirteen".