213648 has 20 divisors (see below), whose sum is σ = 552048. Its totient is φ = 71200.

The previous prime is 213641. The next prime is 213649. The reversal of 213648 is 846312.

It is a happy number.

213648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (213641) by changing a digit.

213648 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 3 ways as a sum of consecutive naturals, for example, 2178 + ... + 2273.

2²¹³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

213648 is an abundant number, since it is smaller than the sum of its proper divisors (338400).

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

213648 is a wasteful number, since it uses less digits than its factorization.

213648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4456 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 213648 is about 462.2207264933. The cubic root of 213648 is about 59.7814269528.

It can be divided in two parts, 213 and 648, that added together give a triangular number (861 = T₄₁).

The spelling of 213648 in words is "two hundred thirteen thousand, six hundred forty-eight".