214113 has 8 divisors (see below), whose sum is σ = 288000. Its totient is φ = 141488.

The previous prime is 214091. The next prime is 214129. The reversal of 214113 is 311412.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-214113 is a prime.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2²¹⁴¹¹³ is an apocalyptic number.

It is an amenable number.

214113 is a deficient number, since it is larger than the sum of its proper divisors (73887).

214113 is a wasteful number, since it uses less digits than its factorization.

214113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its digits is 24, while the sum is 12.

The square root of 214113 is about 462.7234595306. The cubic root of 214113 is about 59.8247664963.

Adding to 214113 its reverse (311412), we get a palindrome (525525).

The spelling of 214113 in words is "two hundred fourteen thousand, one hundred thirteen".