112757 has 2 divisors, whose sum is σ = 112758. Its totient is φ = 112756.

The previous prime is 112741. The next prime is 112759. The reversal of 112757 is 757211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98596 + 14161 = 314^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 112757 - 2⁴ = 112741 is a prime.

Together with 112759, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112759) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56378 + 56379.

It is an arithmetic number, because the mean of its divisors is an integer number (56379).

2¹¹²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

112757 is a deficient number, since it is larger than the sum of its proper divisors (1).

112757 is an equidigital number, since it uses as much as digits as its factorization.

112757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 490, while the sum is 23.

The square root of 112757 is about 335.7930910546. The cubic root of 112757 is about 48.3112013880.

Adding to 112757 its reverse (757211), we get a palindrome (869968).

The spelling of 112757 in words is "one hundred twelve thousand, seven hundred fifty-seven".