117585121 has 2 divisors, whose sum is σ = 117585122. Its totient is φ = 117585120.

The previous prime is 117585113. The next prime is 117585137. The reversal of 117585121 is 121585711.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117180625 + 404496 = 10825^2 + 636^2 .

It is a cyclic number.

It is not a de Polignac number, because 117585121 - 2³ = 117585113 is a prime.

It is not a weakly prime, because it can be changed into another prime (117585151) 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, 58792560 + 58792561.

It is an arithmetic number, because the mean of its divisors is an integer number (58792561).

Almost surely, 2^117585121 is an apocalyptic number.

It is an amenable number.

117585121 is a deficient number, since it is larger than the sum of its proper divisors (1).

117585121 is an equidigital number, since it uses as much as digits as its factorization.

117585121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2800, while the sum is 31.

The square root of 117585121 is about 10843.6673224514. The cubic root of 117585121 is about 489.9113000628.

The spelling of 117585121 in words is "one hundred seventeen million, five hundred eighty-five thousand, one hundred twenty-one".