219414 has 32 divisors (see below), whose sum is σ = 493920. Its totient is φ = 64512.

The previous prime is 219409. The next prime is 219433. The reversal of 219414 is 414912.

219414 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (288) is a multiple of the sum of its prime divisors (144).

It is a Curzon number.

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 219414.

It is an unprimeable number.

219414 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 15 ways as a sum of consecutive naturals, for example, 2214 + ... + 2310.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2²¹⁹⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246960).

219414 is an abundant number, since it is smaller than the sum of its proper divisors (274506).

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

219414 is a wasteful number, since it uses less digits than its factorization.

219414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 288, while the sum is 21.

The square root of 219414 is about 468.4164813497. The cubic root of 219414 is about 60.3144601455.

It can be divided in two parts, 21941 and 4, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 219414 in words is "two hundred nineteen thousand, four hundred fourteen".