213024 has 48 divisors (see below), whose sum is σ = 641088. Its totient is φ = 60672.

The previous prime is 213023. The next prime is 213029. The reversal of 213024 is 420312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213024.

It is not an unprimeable number, because it can be changed into a prime (213023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

2²¹³⁰²⁴ is an apocalyptic number.

213024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320544).

213024 is an abundant number, since it is smaller than the sum of its proper divisors (428064).

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

213024 is a wasteful number, since it uses less digits than its factorization.

213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 213024 is about 461.5452307196. The cubic root of 213024 is about 59.7231691535.

Adding to 213024 its reverse (420312), we get a palindrome (633336).

It can be divided in two parts, 21 and 3024, that multiplied together give a square (63504 = 252²).

The spelling of 213024 in words is "two hundred thirteen thousand, twenty-four".