213414 has 8 divisors (see below), whose sum is σ = 426840. Its totient is φ = 71136.

The previous prime is 213407. The next prime is 213449. The reversal of 213414 is 414312.

213414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

213414 is an admirable number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 213393 and 213402.

It is a congruent number.

It is an unprimeable number.

213414 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, 17779 + ... + 17790.

It is an arithmetic number, because the mean of its divisors is an integer number (53355).

2²¹³⁴¹⁴ is an apocalyptic number.

213414 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

213414 is a wasteful number, since it uses less digits than its factorization.

213414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35574.

The product of its digits is 96, while the sum is 15.

The square root of 213414 is about 461.9675313266. The cubic root of 213414 is about 59.7595935880.

Adding to 213414 its reverse (414312), we get a palindrome (627726).

The spelling of 213414 in words is "two hundred thirteen thousand, four hundred fourteen".