113711 has 4 divisors (see below), whose sum is σ = 122472. Its totient is φ = 104952.

The previous prime is 113683. The next prime is 113717. The reversal of 113711 is 117311.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 117311 = 73 ⋅1607.

It is a cyclic number.

It is not a de Polignac number, because 113711 - 2⁶ = 113647 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 (113717) 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, 4361 + ... + 4386.

It is an arithmetic number, because the mean of its divisors is an integer number (30618).

2¹¹³⁷¹¹ is an apocalyptic number.

113711 is a deficient number, since it is larger than the sum of its proper divisors (8761).

113711 is an equidigital number, since it uses as much as digits as its factorization.

113711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760.

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

The square root of 113711 is about 337.2106166775. The cubic root of 113711 is about 48.4470673436.

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

The spelling of 113711 in words is "one hundred thirteen thousand, seven hundred eleven".