117312257 has 8 divisors (see below), whose sum is σ = 124507656. Its totient is φ = 110149632.

The previous prime is 117312233. The next prime is 117312263. The reversal of 117312257 is 752213711.

It can be written as a sum of positive squares in 4 ways, for example, as 19678096 + 97634161 = 4436^2 + 9881^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-117312257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117312227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608 + ... + 15329.

It is an arithmetic number, because the mean of its divisors is an integer number (15563457).

Almost surely, 2^117312257 is an apocalyptic number.

117312257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

117312257 is a deficient number, since it is larger than the sum of its proper divisors (7195399).

117312257 is a wasteful number, since it uses less digits than its factorization.

117312257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16387.

The product of its digits is 2940, while the sum is 29.

The square root of 117312257 is about 10831.0782935034. The cubic root of 117312257 is about 489.5320494311.

Adding to 117312257 its reverse (752213711), we get a palindrome (869525968).

The spelling of 117312257 in words is "one hundred seventeen million, three hundred twelve thousand, two hundred fifty-seven".