117757 has 2 divisors, whose sum is σ = 117758. Its totient is φ = 117756.

The previous prime is 117751. The next prime is 117763. The reversal of 117757 is 757711.

It is a balanced prime because it is at equal distance from previous prime (117751) and next prime (117763).

It can be written as a sum of positive squares in only one way, i.e., 63001 + 54756 = 251^2 + 234^2 .

It is an emirp because it is prime and its reverse (757711) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-117757 is a prime.

It is a super-2 number, since 2×117757² = 27733422098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (117751) 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 as a sum of consecutive naturals, namely, 58878 + 58879.

It is an arithmetic number, because the mean of its divisors is an integer number (58879).

2¹¹⁷⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

117757 is a deficient number, since it is larger than the sum of its proper divisors (1).

117757 is an equidigital number, since it uses as much as digits as its factorization.

117757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1715, while the sum is 28.

The square root of 117757 is about 343.1573982883. The cubic root of 117757 is about 49.0149891669.

The spelling of 117757 in words is "one hundred seventeen thousand, seven hundred fifty-seven".