213885 has 36 divisors (see below), whose sum is σ = 435708. Its totient is φ = 96768.

The previous prime is 213881. The next prime is 213887. The reversal of 213885 is 588312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 127449 = 294^2 + 357^2 .

It is not a de Polignac number, because 213885 - 2² = 213881 is a prime.

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 213885.

It is not an unprimeable number, because it can be changed into a prime (213881) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2157 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2²¹³⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

213885 is an abundant number, since it is smaller than the sum of its proper divisors (221823).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213885 is a wasteful number, since it uses less digits than its factorization.

213885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 213885 is about 462.4770264565. The cubic root of 213885 is about 59.8035239886.

The spelling of 213885 in words is "two hundred thirteen thousand, eight hundred eighty-five".