213252 has 24 divisors (see below), whose sum is σ = 536256. Its totient is φ = 65568.

The previous prime is 213247. The next prime is 213253. The reversal of 213252 is 252312.

It is not an unprimeable number, because it can be changed into a prime (213253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2²¹³²⁵² is an apocalyptic number.

It is an amenable number.

213252 is an abundant number, since it is smaller than the sum of its proper divisors (323004).

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

213252 is a wasteful number, since it uses less digits than its factorization.

213252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1385 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 213252 is about 461.7921610422. The cubic root of 213252 is about 59.7444688308.

Adding to 213252 its reverse (252312), we get a palindrome (465564).

Subtracting 213252 from its reverse (252312), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 213 and 252, that added together give a triangular number (465 = T₃₀).

The spelling of 213252 in words is "two hundred thirteen thousand, two hundred fifty-two".