213588 has 36 divisors (see below), whose sum is σ = 573300. Its totient is φ = 66816.

The previous prime is 213557. The next prime is 213589. The reversal of 213588 is 885312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 51984 = 402^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 213588.

It is not an unprimeable number, because it can be changed into a prime (213589) 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 11 ways as a sum of consecutive naturals, for example, 438 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (15925).

2²¹³⁵⁸⁸ 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 213588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286650).

213588 is an abundant number, since it is smaller than the sum of its proper divisors (359712).

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

213588 is a wasteful number, since it uses less digits than its factorization.

213588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

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

The square root of 213588 is about 462.1558178796. The cubic root of 213588 is about 59.7758301745.

The spelling of 213588 in words is "two hundred thirteen thousand, five hundred eighty-eight".