214472 has 32 divisors (see below), whose sum is σ = 453600. Its totient is φ = 94464.

The previous prime is 214469. The next prime is 214481. The reversal of 214472 is 274412.

214472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2⁵ + 1 + 4⁵ + 4⁸ + 7⁵ + 2¹⁷ .

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, 2543 + ... + 2625.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2²¹⁴⁴⁷² is an apocalyptic number.

It is an amenable number.

214472 is an abundant number, since it is smaller than the sum of its proper divisors (239128).

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

214472 is a wasteful number, since it uses less digits than its factorization.

214472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its digits is 448, while the sum is 20.

The square root of 214472 is about 463.1112177436. Note that the first 3 decimals coincide. The cubic root of 214472 is about 59.8581835843.

Adding to 214472 its reverse (274412), we get a palindrome (488884).

It can be divided in two parts, 214 and 472, that added together give a palindrome (686).

The spelling of 214472 in words is "two hundred fourteen thousand, four hundred seventy-two", and thus it is an iban number.