112759 has 2 divisors, whose sum is σ = 112760. Its totient is φ = 112758.

The previous prime is 112757. The next prime is 112771. The reversal of 112759 is 957211.

It is a weak prime.

It is an emirp because it is prime and its reverse (957211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112759 - 2¹ = 112757 is a prime.

Together with 112757, it forms a pair of twin primes.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112757) 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 as a sum of consecutive naturals, namely, 56379 + 56380.

It is an arithmetic number, because the mean of its divisors is an integer number (56380).

2¹¹²⁷⁵⁹ is an apocalyptic number.

112759 is a deficient number, since it is larger than the sum of its proper divisors (1).

112759 is an equidigital number, since it uses as much as digits as its factorization.

112759 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 25.

The square root of 112759 is about 335.7960690657. The cubic root of 112759 is about 48.3114870223.

It can be divided in two parts, 11275 and 9, that multiplied together give a triangular number (101475 = T₄₅₀).

The spelling of 112759 in words is "one hundred twelve thousand, seven hundred fifty-nine".