214484 has 18 divisors (see below), whose sum is σ = 397530. Its totient is φ = 101136.

The previous prime is 214483. The next prime is 214499. The reversal of 214484 is 484412.

Added to its reverse (484412) it gives a square (698896 = 836²).

214484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 184900 + 29584 = 430^2 + 172^2 .

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 214484.

It is not an unprimeable number, because it can be changed into a prime (214481) 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, 4967 + ... + 5009.

It is an arithmetic number, because the mean of its divisors is an integer number (22085).

2²¹⁴⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

214484 is a deficient number, since it is larger than the sum of its proper divisors (183046).

214484 is a wasteful number, since it uses less digits than its factorization.

214484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 74 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 214484 is about 463.1241734136. The cubic root of 214484 is about 59.8592999458.

Adding to 214484 its reverse (484412), we get a palindrome (698896).

The spelling of 214484 in words is "two hundred fourteen thousand, four hundred eighty-four".