213264 has 30 divisors (see below), whose sum is σ = 597246. Its totient is φ = 71040.

The previous prime is 213263. The next prime is 213281. The reversal of 213264 is 462312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 36864 = 420^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹¹ + 1 + 2¹⁵ + 3¹¹ + 6⁴ + 4 .

It is not an unprimeable number, because it can be changed into a prime (213263) 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 5 ways as a sum of consecutive naturals, for example, 597 + ... + 884.

2²¹³²⁶⁴ is an apocalyptic number.

213264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213264 is an abundant number, since it is smaller than the sum of its proper divisors (383982).

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

213264 is a wasteful number, since it uses less digits than its factorization.

213264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1486 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 213264 is about 461.8051537175. The cubic root of 213264 is about 59.7455894459.

Adding to 213264 its reverse (462312), we get a palindrome (675576).

The spelling of 213264 in words is "two hundred thirteen thousand, two hundred sixty-four".