214506 has 24 divisors (see below), whose sum is σ = 492804. Its totient is φ = 67200.

The previous prime is 214499. The next prime is 214507. The reversal of 214506 is 605412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 189225 + 25281 = 435^2 + 159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 214506.

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

214506 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 11 ways as a sum of consecutive naturals, for example, 45 + ... + 656.

214506 is a Friedman number, since it can be written as 4206*51, using all its digits and the basic arithmetic operations.

2²¹⁴⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246402).

214506 is an abundant number, since it is smaller than the sum of its proper divisors (278298).

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

214506 is a wasteful number, since it uses less digits than its factorization.

214506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214506 is about 463.1479245338. The cubic root of 214506 is about 59.8613465003.

Adding to 214506 its reverse (605412), we get a palindrome (819918).

The spelling of 214506 in words is "two hundred fourteen thousand, five hundred six".