Search a number
-
+
214007 is a prime number
BaseRepresentation
bin110100001111110111
3101212120012
4310033313
523322012
64330435
71550633
oct641767
9355505
10214007
11136872
12a3a1b
1376541
1457dc3
1543622
hex343f7

214007 has 2 divisors, whose sum is σ = 214008. Its totient is φ = 214006.

The previous prime is 214003. The next prime is 214009. The reversal of 214007 is 700412.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 214007 - 22 = 214003 is a prime.

Together with 214009, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 213982 and 214000.

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 214007.

It is not a weakly prime, because it can be changed into another prime (214003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107003 + 107004.

It is an arithmetic number, because the mean of its divisors is an integer number (107004).

2214007 is an apocalyptic number.

214007 is a deficient number, since it is larger than the sum of its proper divisors (1).

214007 is an equidigital number, since it uses as much as digits as its factorization.

214007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 214007 is about 462.6089060967. The cubic root of 214007 is about 59.8148924703.

Adding to 214007 its reverse (700412), we get a palindrome (914419).

The spelling of 214007 in words is "two hundred fourteen thousand, seven", and thus it is an iban number.