213468 has 12 divisors (see below), whose sum is σ = 498120. Its totient is φ = 71152.

The previous prime is 213467. The next prime is 213481. The reversal of 213468 is 864312.

It is a happy number.

213468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

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 213468.

It is not an unprimeable number, because it can be changed into a prime (213461) 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, 8883 + ... + 8906.

It is an arithmetic number, because the mean of its divisors is an integer number (41510).

2²¹³⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

213468 is an abundant number, since it is smaller than the sum of its proper divisors (284652).

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

213468 is a wasteful number, since it uses less digits than its factorization.

213468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17796 (or 17794 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 213468 is about 462.0259732959. The cubic root of 213468 is about 59.7646334728.

Subtracting from 213468 its sum of digits (24), we obtain a square (213444 = 462²).

The spelling of 213468 in words is "two hundred thirteen thousand, four hundred sixty-eight".