214984 has 32 divisors (see below), whose sum is σ = 504000. Its totient is φ = 83520.

The previous prime is 214967. The next prime is 214987. The reversal of 214984 is 489412.

214984 is digitally balanced in base 2 and base 3, because in such bases 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 (28).

It is not an unprimeable number, because it can be changed into a prime (214987) by changing a digit.

214984 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 7 ways as a sum of consecutive naturals, for example, 442 + ... + 790.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2²¹⁴⁹⁸⁴ 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 214984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000).

214984 is an abundant number, since it is smaller than the sum of its proper divisors (289016).

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

214984 is a wasteful number, since it uses less digits than its factorization.

214984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 214984 is about 463.6636712101. The cubic root of 214984 is about 59.9057780404.

It can be divided in two parts, 21 and 4984, that added together give a palindrome (5005).

The spelling of 214984 in words is "two hundred fourteen thousand, nine hundred eighty-four".