214214 has 32 divisors (see below), whose sum is σ = 435456. Its totient is φ = 76320.

The previous prime is 214213. The next prime is 214219. The reversal of 214214 is 412412.

214214 = T₁₇₅ + T₁₇₆ + ... + T₁₈₇.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

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 214214.

It is not an unprimeable number, because it can be changed into a prime (214211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2²¹⁴²¹⁴ is an apocalyptic number.

214214 is an abundant number, since it is smaller than the sum of its proper divisors (221242).

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

214214 is a wasteful number, since it uses less digits than its factorization.

214214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140.

The product of its digits is 64, while the sum is 14.

The square root of 214214 is about 462.8325831227. The cubic root of 214214 is about 59.8341717350.

Adding to 214214 its reverse (412412), we get a palindrome (626626).

The spelling of 214214 in words is "two hundred fourteen thousand, two hundred fourteen", and thus it is an iban number.