181007117 has 2 divisors, whose sum is σ = 181007118. Its totient is φ = 181007116.

The previous prime is 181007107. The next prime is 181007119. The reversal of 181007117 is 711700181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171452836 + 9554281 = 13094^2 + 3091^2 .

It is a cyclic number.

It is not a de Polignac number, because 181007117 - 2²² = 176812813 is a prime.

Together with 181007119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181007119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90503558 + 90503559.

It is an arithmetic number, because the mean of its divisors is an integer number (90503559).

Almost surely, 2^181007117 is an apocalyptic number.

It is an amenable number.

181007117 is a deficient number, since it is larger than the sum of its proper divisors (1).

181007117 is an equidigital number, since it uses as much as digits as its factorization.

181007117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 26.

The square root of 181007117 is about 13453.8885456956. Note that the first 3 decimals coincide. The cubic root of 181007117 is about 565.6726965548.

Adding to 181007117 its reverse (711700181), we get a palindrome (892707298).

The spelling of 181007117 in words is "one hundred eighty-one million, seven thousand, one hundred seventeen".