Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
10337 is a prime number
BaseRepresentation
bin10100001100001
3112011212
42201201
5312322
6115505
742065
oct24141
915155
1010337
117848
125b95
134922
143aa5
1530e2
hex2861

10337 has 2 divisors, whose sum is σ = 10338. Its totient is φ = 10336.

The previous prime is 10333. The next prime is 10343. The reversal of 10337 is 73301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6241 + 4096 = 79^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 10337 - 22 = 10333 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 10337.

It is not a weakly prime, because it can be changed into another prime (10331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5168 + 5169.

It is an arithmetic number, because the mean of its divisors is an integer number (5169).

210337 is an apocalyptic number.

It is an amenable number.

10337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10337 is an equidigital number, since it uses as much as digits as its factorization.

10337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 10337 is about 101.6710381574. The cubic root of 10337 is about 21.7836928801.

Adding to 10337 its reverse (73301), we get a palindrome (83638).

The spelling of 10337 in words is "ten thousand, three hundred thirty-seven".