213852 has 24 divisors (see below), whose sum is σ = 508032. Its totient is φ = 70000.

The previous prime is 213847. The next prime is 213859. The reversal of 213852 is 258312.

213852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213859) by changing a digit.

213852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2²¹³⁸⁵² is an apocalyptic number.

It is an amenable number.

213852 is an abundant number, since it is smaller than the sum of its proper divisors (294180).

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

213852 is a wasteful number, since it uses less digits than its factorization.

213852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 213852 is about 462.4413476323. The cubic root of 213852 is about 59.8004481646.

It can be divided in two parts, 213 and 852, that multiplied together give a square (181476 = 426²).

The spelling of 213852 in words is "two hundred thirteen thousand, eight hundred fifty-two".