214005 has 16 divisors (see below), whose sum is σ = 373824. Its totient is φ = 103680.

The previous prime is 214003. The next prime is 214007. The reversal of 214005 is 500412.

It is an interprime number because it is at equal distance from previous prime (214003) and next prime (214007).

It is not a de Polignac number, because 214005 - 2¹ = 214003 is a prime.

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 214005.

It is not an unprimeable number, because it can be changed into a prime (214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (23364).

2²¹⁴⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

214005 is a deficient number, since it is larger than the sum of its proper divisors (159819).

214005 is a wasteful number, since it uses less digits than its factorization.

214005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 214005 is about 462.6067444385. The cubic root of 214005 is about 59.8147061366.

Adding to 214005 its reverse (500412), we get a palindrome (714417).

The spelling of 214005 in words is "two hundred fourteen thousand, five".