213375 has 16 divisors (see below), whose sum is σ = 355680. Its totient is φ = 113600.

The previous prime is 213361. The next prime is 213383. The reversal of 213375 is 573312.

It is a happy number.

It is not a de Polignac number, because 213375 - 2⁴ = 213359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2²¹³³⁷⁵ is an apocalyptic number.

213375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213375 is a deficient number, since it is larger than the sum of its proper divisors (142305).

213375 is an equidigital number, since it uses as much as digits as its factorization.

213375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 213375 is about 461.9253186393. The cubic root of 213375 is about 59.7559531425.

Adding to 213375 its reverse (573312), we get a palindrome (786687).

The spelling of 213375 in words is "two hundred thirteen thousand, three hundred seventy-five".