213268 has 24 divisors (see below), whose sum is σ = 421344. Its totient is φ = 93600.

The previous prime is 213263. The next prime is 213281. The reversal of 213268 is 862312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 2¹¹ + 1 + 2¹⁵ + 3¹¹ + 6⁴ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213263) by changing a digit.

213268 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, 1563 + ... + 1693.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2²¹³²⁶⁸ is an apocalyptic number.

It is an amenable number.

213268 is a deficient number, since it is larger than the sum of its proper divisors (208076).

213268 is a wasteful number, since it uses less digits than its factorization.

213268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 213268 is about 461.8094845280. The cubic root of 213268 is about 59.7459629749.

The spelling of 213268 in words is "two hundred thirteen thousand, two hundred sixty-eight".