112657 has 2 divisors, whose sum is σ = 112658. Its totient is φ = 112656.

The previous prime is 112643. The next prime is 112663. The reversal of 112657 is 756211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 36481 = 276^2 + 191^2 .

It is a cyclic number.

It is not a de Polignac number, because 112657 - 2¹¹ = 110609 is a prime.

It is not a weakly prime, because it can be changed into another prime (112687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56328 + 56329.

It is an arithmetic number, because the mean of its divisors is an integer number (56329).

2¹¹²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

112657 is a deficient number, since it is larger than the sum of its proper divisors (1).

112657 is an equidigital number, since it uses as much as digits as its factorization.

112657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 22.

The square root of 112657 is about 335.6441568090. The cubic root of 112657 is about 48.2969153598.

Adding to 112657 its reverse (756211), we get a palindrome (868868).

The spelling of 112657 in words is "one hundred twelve thousand, six hundred fifty-seven".