214848 has 42 divisors (see below), whose sum is σ = 617474. Its totient is φ = 71424.

The previous prime is 214831. The next prime is 214849. The reversal of 214848 is 848412.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 28224 = 432^2 + 168^2 .

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214849) by changing a digit.

214848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 390 + ... + 762.

2²¹⁴⁸⁴⁸ 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 214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308737).

214848 is an abundant number, since it is smaller than the sum of its proper divisors (402626).

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

214848 is a wasteful number, since it uses less digits than its factorization.

214848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 214848 is about 463.5169899799. The cubic root of 214848 is about 59.8931431398.

The spelling of 214848 in words is "two hundred fourteen thousand, eight hundred forty-eight".