233117 has 2 divisors, whose sum is σ = 233118. Its totient is φ = 233116.

The previous prime is 233113. The next prime is 233141. The reversal of 233117 is 711332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151321 + 81796 = 389^2 + 286^2 .

It is a cyclic number.

It is not a de Polignac number, because 233117 - 2² = 233113 is a prime.

It is a Chen prime.

It is equal to p₂₀₆₈₁ and since 233117 and 20681 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 233095 and 233104.

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 233117.

It is not a weakly prime, because it can be changed into another prime (233113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116558 + 116559.

It is an arithmetic number, because the mean of its divisors is an integer number (116559).

2²³³¹¹⁷ is an apocalyptic number.

It is an amenable number.

233117 is a deficient number, since it is larger than the sum of its proper divisors (1).

233117 is an equidigital number, since it uses as much as digits as its factorization.

233117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 17.

The square root of 233117 is about 482.8219133387. The cubic root of 233117 is about 61.5447929784.

Adding to 233117 its reverse (711332), we get a palindrome (944449).

It can be divided in two parts, 233 and 117, that multiplied together give a triangular number (27261 = T₂₃₃).

The spelling of 233117 in words is "two hundred thirty-three thousand, one hundred seventeen".