213532 has 24 divisors (see below), whose sum is σ = 427392. Its totient is φ = 92400.

The previous prime is 213523. The next prime is 213533. The reversal of 213532 is 235312.

213532 is nontrivially palindromic in base 13.

It is a pancake number, because a pancake can be divided into 213532 parts by 653 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213533) by changing a digit.

213532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 907 + ... + 1117.

It is an arithmetic number, because the mean of its divisors is an integer number (17808).

2²¹³⁵³² is an apocalyptic number.

213532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213532 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

213532 is a wasteful number, since it uses less digits than its factorization.

213532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 213532 is about 462.0952282809. The cubic root of 213532 is about 59.7706055691.

Adding to 213532 its reverse (235312), we get a palindrome (448844).

It can be divided in two parts, 21 and 3532, that added together give a palindrome (3553).

The spelling of 213532 in words is "two hundred thirteen thousand, five hundred thirty-two".