117133 has 2 divisors, whose sum is σ = 117134. Its totient is φ = 117132.

The previous prime is 117127. The next prime is 117163. The reversal of 117133 is 331711.

It is a happy number.

117133 is nontrivially palindromic in base 4.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 169 = 342^2 + 13^2 .

It is an emirp because it is prime and its reverse (331711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 117133 - 2⁵ = 117101 is a prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (117163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58566 + 58567.

It is an arithmetic number, because the mean of its divisors is an integer number (58567).

2¹¹⁷¹³³ is an apocalyptic number.

It is an amenable number.

117133 is a deficient number, since it is larger than the sum of its proper divisors (1).

117133 is an equidigital number, since it uses as much as digits as its factorization.

117133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63, while the sum is 16.

The square root of 117133 is about 342.2469868385. The cubic root of 117133 is about 48.9282581948.

Adding to 117133 its reverse (331711), we get a palindrome (448844).

The spelling of 117133 in words is "one hundred seventeen thousand, one hundred thirty-three".