214149 has 24 divisors (see below), whose sum is σ = 343840. Its totient is φ = 117504.

The previous prime is 214147. The next prime is 214163. The reversal of 214149 is 941412.

214149 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 214149 - 2¹ = 214147 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a Curzon number.

214149 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214141) 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 23 ways as a sum of consecutive naturals, for example, 11262 + ... + 11280.

2²¹⁴¹⁴⁹ is an apocalyptic number.

It is an amenable number.

214149 is a deficient number, since it is larger than the sum of its proper divisors (129691).

214149 is a wasteful number, since it uses less digits than its factorization.

214149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 214149 is about 462.7623580198. The cubic root of 214149 is about 59.8281191978.

It can be divided in two parts, 214 and 149, that added together give a palindrome (363).

The spelling of 214149 in words is "two hundred fourteen thousand, one hundred forty-nine".