Search a number
-
+
22037 is a prime number

22037 has 2 divisors, whose sum is σ = 22038. Its totient is φ = 22036.

The previous prime is 22031. The next prime is 22039. The reversal of 22037 is 73022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14641 + 7396 = 121^2 + 86^2 .

It is a cyclic number.

It is not a de Polignac number, because 22037 - 210 = 21013 is a prime.

Together with 22039, it forms a pair of twin primes.

It is a Chen prime.

22037 is a modest number, since divided by 37 gives 22 as remainder.

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 22037.

It is not a weakly prime, because it can be changed into another prime (22031) 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, 11018 + 11019.

It is an arithmetic number, because the mean of its divisors is an integer number (11019).

222037 is an apocalyptic number.

It is an amenable number.

22037 is a deficient number, since it is larger than the sum of its proper divisors (1).

22037 is an equidigital number, since it uses as much as digits as its factorization.

22037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 22037 is about 148.4486443185. The cubic root of 22037 is about 28.0360929109.

Adding to 22037 its reverse (73022), we get a palindrome (95059).

The spelling of 22037 in words is "twenty-two thousand, thirty-seven".