213888 has 32 divisors (see below), whose sum is σ = 569160. Its totient is φ = 71168.

The previous prime is 213887. The next prime is 213901. The reversal of 213888 is 888312.

213888 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

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 213888.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106 + ... + 662.

2²¹³⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284580).

213888 is an abundant number, since it is smaller than the sum of its proper divisors (355272).

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

213888 is an equidigital number, since it uses as much as digits as its factorization.

213888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 213888 is about 462.4802698494. The cubic root of 213888 is about 59.8038035932.

The spelling of 213888 in words is "two hundred thirteen thousand, eight hundred eighty-eight".