214006 has 8 divisors (see below), whose sum is σ = 345744. Its totient is φ = 98760.

The previous prime is 214003. The next prime is 214007. The reversal of 214006 is 600412.

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

It is a super-3 number, since 3×214006³ = 29403505053336648, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 (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 3 ways as a sum of consecutive naturals, for example, 4090 + ... + 4141.

It is an arithmetic number, because the mean of its divisors is an integer number (43218).

2²¹⁴⁰⁰⁶ is an apocalyptic number.

214006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

214006 is a deficient number, since it is larger than the sum of its proper divisors (131738).

214006 is a wasteful number, since it uses less digits than its factorization.

214006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 214006 is about 462.6078252689. The cubic root of 214006 is about 59.8147993036.

Adding to 214006 its reverse (600412), we get a palindrome (814418).

The spelling of 214006 in words is "two hundred fourteen thousand, six".