214580 has 12 divisors (see below), whose sum is σ = 450660. Its totient is φ = 85824.

The previous prime is 214561. The next prime is 214589. The reversal of 214580 is 85412.

It can be written as a sum of positive squares in 2 ways, for example, as 119716 + 94864 = 346^2 + 308^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10729 = 214580 / (2 + 1 + 4 + 5 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214589) by changing a digit.

214580 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 3 ways as a sum of consecutive naturals, for example, 5345 + ... + 5384.

It is an arithmetic number, because the mean of its divisors is an integer number (37555).

2²¹⁴⁵⁸⁰ is an apocalyptic number.

214580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214580 is an abundant number, since it is smaller than the sum of its proper divisors (236080).

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

214580 is a wasteful number, since it uses less digits than its factorization.

214580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10738 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 214580 is about 463.2278057285. The cubic root of 214580 is about 59.8682293386.

Adding to 214580 its reverse (85412), we get a palindrome (299992).

The spelling of 214580 in words is "two hundred fourteen thousand, five hundred eighty".