213048 has 48 divisors (see below), whose sum is σ = 631800. Its totient is φ = 64320.

The previous prime is 213043. The next prime is 213067. The reversal of 213048 is 840312.

It is a happy number.

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

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 213048.

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 213048.

It is not an unprimeable number, because it can be changed into a prime (213043) by changing a digit.

213048 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 11 ways as a sum of consecutive naturals, for example, 658 + ... + 926.

2²¹³⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315900).

213048 is an abundant number, since it is smaller than the sum of its proper divisors (418752).

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

213048 is a wasteful number, since it uses less digits than its factorization.

213048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213048 is about 461.5712296060. The cubic root of 213048 is about 59.7254119403.

Subtracting 213048 from its reverse (840312), we obtain a square (627264 = 792²).

It can be divided in two parts, 21304 and 8, that added together give a palindrome (21312).

The spelling of 213048 in words is "two hundred thirteen thousand, forty-eight".