117311 has 4 divisors (see below), whose sum is σ = 118992. Its totient is φ = 115632.

The previous prime is 117307. The next prime is 117319. The reversal of 117311 is 113711.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 113711 = 13 ⋅8747.

It is not a de Polignac number, because 117311 - 2² = 117307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117319) 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 in 3 ways as a sum of consecutive naturals, for example, 731 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (29748).

2¹¹⁷³¹¹ is an apocalyptic number.

117311 is a deficient number, since it is larger than the sum of its proper divisors (1681).

117311 is an equidigital number, since it uses as much as digits as its factorization.

117311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680.

The product of its digits is 21, while the sum is 14.

The square root of 117311 is about 342.5069342364. The cubic root of 117311 is about 48.9530300981.

Subtracting from 117311 its reverse (113711), we obtain a square (3600 = 60²).

The spelling of 117311 in words is "one hundred seventeen thousand, three hundred eleven", and thus it is an iban number.