213345 has 24 divisors (see below), whose sum is σ = 404352. Its totient is φ = 103200.

The previous prime is 213337. The next prime is 213349. The reversal of 213345 is 543312.

It is not a de Polignac number, because 213345 - 2³ = 213337 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (16848).

2²¹³³⁴⁵ is an apocalyptic number.

It is an amenable number.

213345 is a deficient number, since it is larger than the sum of its proper divisors (191007).

213345 is a wasteful number, since it uses less digits than its factorization.

213345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 450 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 213345 is about 461.8928447162. The cubic root of 213345 is about 59.7531524979.

Adding to 213345 its reverse (543312), we get a palindrome (756657).

The spelling of 213345 in words is "two hundred thirteen thousand, three hundred forty-five".