214500 has 96 divisors (see below), whose sum is σ = 733824. Its totient is φ = 48000.

The previous prime is 214499. The next prime is 214507. The reversal of 214500 is 5412.

214500 is digitally balanced in base 2, 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16494 + ... + 16506.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2²¹⁴⁵⁰⁰ is an apocalyptic number.

214500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

214500 is an abundant number, since it is smaller than the sum of its proper divisors (519324).

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

214500 is a wasteful number, since it uses less digits than its factorization.

214500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 214500 is about 463.1414470764. The cubic root of 214500 is about 59.8607883629.

Adding to 214500 its reverse (5412), we get a palindrome (219912).

The spelling of 214500 in words is "two hundred fourteen thousand, five hundred".