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133337 is a prime number
BaseRepresentation
bin100000100011011001
320202220102
4200203121
513231322
62505145
71063511
oct404331
9222812
10133337
11911a6
12651b5
13488c9
1436841
1529792
hex208d9

133337 has 2 divisors, whose sum is σ = 133338. Its totient is φ = 133336.

The previous prime is 133327. The next prime is 133349. The reversal of 133337 is 733331.

Adding to 133337 its reverse (733331), we get a palindrome (866668).

It is a happy number.

133337 is nontrivially palindromic in base 15.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 841 = 364^2 + 29^2 .

It is an emirp because it is prime and its reverse (733331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133337 - 24 = 133321 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (133327) 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, 66668 + 66669.

It is an arithmetic number, because the mean of its divisors is an integer number (66669).

2133337 is an apocalyptic number.

It is an amenable number.

133337 is a deficient number, since it is larger than the sum of its proper divisors (1).

133337 is an equidigital number, since it uses as much as digits as its factorization.

133337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567, while the sum is 20.

The square root of 133337 is about 365.1533924257. The cubic root of 133337 is about 51.0877637888.

The spelling of 133337 in words is "one hundred thirty-three thousand, three hundred thirty-seven".