117751 has 2 divisors, whose sum is σ = 117752. Its totient is φ = 117750.

The previous prime is 117731. The next prime is 117757. The reversal of 117751 is 157711.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 117751 - 2⁹ = 117239 is a prime.

It is a Chen prime.

It is an Ulam number.

117751 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (117757) 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, 58875 + 58876.

It is an arithmetic number, because the mean of its divisors is an integer number (58876).

2¹¹⁷⁷⁵¹ is an apocalyptic number.

117751 is a deficient number, since it is larger than the sum of its proper divisors (1).

117751 is an equidigital number, since it uses as much as digits as its factorization.

117751 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 245, while the sum is 22.

The square root of 117751 is about 343.1486558330. The cubic root of 117751 is about 49.0141566759.

It can be divided in two parts, 117 and 751, that added together give a palindrome (868).

The spelling of 117751 in words is "one hundred seventeen thousand, seven hundred fifty-one".