213248 has 54 divisors (see below), whose sum is σ = 524286. Its totient is φ = 86016.

The previous prime is 213247. The next prime is 213253. The reversal of 213248 is 842312.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 12544 = 448^2 + 112^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213248.

It is not an unprimeable number, because it can be changed into a prime (213247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12536 + ... + 12552.

It is an arithmetic number, because the mean of its divisors is an integer number (9709).

2²¹³²⁴⁸ is an apocalyptic number.

213248 is a gapful number since it is divisible by the number (28) 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 213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262143).

213248 is an abundant number, since it is smaller than the sum of its proper divisors (311038).

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

213248 is an equidigital number, since it uses as much as digits as its factorization.

213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 26 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 213248 is about 461.7878300692. The cubic root of 213248 is about 59.7440952832.

The spelling of 213248 in words is "two hundred thirteen thousand, two hundred forty-eight".