214520 has 32 divisors (see below), whose sum is σ = 501120. Its totient is φ = 82560.

The previous prime is 214519. The next prime is 214531. The reversal of 214520 is 25412.

214520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214495 and 214504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1154 + ... + 1326.

It is an arithmetic number, because the mean of its divisors is an integer number (15660).

2²¹⁴⁵²⁰ is an apocalyptic number.

214520 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 214520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250560).

214520 is an abundant number, since it is smaller than the sum of its proper divisors (286600).

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

214520 is a wasteful number, since it uses less digits than its factorization.

214520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 214520 is about 463.1630382490. The cubic root of 214520 is about 59.8626487803.

Adding to 214520 its reverse (25412), we get a palindrome (239932).

The spelling of 214520 in words is "two hundred fourteen thousand, five hundred twenty".