112897 has 8 divisors (see below), whose sum is σ = 124200. Its totient is φ = 102144.

The previous prime is 112877. The next prime is 112901. The reversal of 112897 is 798211.

It is a Cunningham number, because it is equal to 336²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 53361 = 244^2 + 231^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112897 - 2¹¹ = 110849 is a prime.

It is a Duffinian number.

112897 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (112807) 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 in 7 ways as a sum of consecutive naturals, for example, 379 + ... + 607.

It is an arithmetic number, because the mean of its divisors is an integer number (15525).

2¹¹²⁸⁹⁷ is an apocalyptic number.

112897 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

112897 is a deficient number, since it is larger than the sum of its proper divisors (11303).

112897 is a wasteful number, since it uses less digits than its factorization.

112897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its digits is 1008, while the sum is 28.

The square root of 112897 is about 336.0014880919. The cubic root of 112897 is about 48.3311876442.

It can be divided in two parts, 1128 and 97, that added together give a triangular number (1225 = T₄₉).

The spelling of 112897 in words is "one hundred twelve thousand, eight hundred ninety-seven".