Search a number
-
+
19237 is a prime number
BaseRepresentation
bin100101100100101
3222101111
410230211
51103422
6225021
7110041
oct45445
928344
1019237
11134a9
12b171
1389aa
147021
155a77
hex4b25

19237 has 2 divisors, whose sum is σ = 19238. Its totient is φ = 19236.

The previous prime is 19231. The next prime is 19249. The reversal of 19237 is 73291.

It can be divided in two parts, 19 and 237, that added together give a 8-th power (256 = 28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 6241 = 114^2 + 79^2 .

It is an emirp because it is prime and its reverse (73291) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19237 - 211 = 17189 is a prime.

19237 is a lucky number.

It is a plaindrome in base 13.

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 19237.

It is not a weakly prime, because it can be changed into another prime (19231) 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 as a sum of consecutive naturals, namely, 9618 + 9619.

It is an arithmetic number, because the mean of its divisors is an integer number (9619).

219237 is an apocalyptic number.

It is an amenable number.

19237 is a deficient number, since it is larger than the sum of its proper divisors (1).

19237 is an equidigital number, since it uses as much as digits as its factorization.

19237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 22.

The square root of 19237 is about 138.6975125949. The cubic root of 19237 is about 26.7945076738.

The spelling of 19237 in words is "nineteen thousand, two hundred thirty-seven".