112829 has 4 divisors (see below), whose sum is σ = 119484. Its totient is φ = 106176.

The previous prime is 112807. The next prime is 112831. The reversal of 112829 is 928211.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 928211 = 23 ⋅40357.

It can be written as a sum of positive squares in 2 ways, for example, as 36100 + 76729 = 190^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 112829 - 2⁸ = 112573 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112859) 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, 3302 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (29871).

2¹¹²⁸²⁹ is an apocalyptic number.

It is an amenable number.

112829 is a deficient number, since it is larger than the sum of its proper divisors (6655).

112829 is an equidigital number, since it uses as much as digits as its factorization.

112829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654.

The product of its digits is 288, while the sum is 23.

The square root of 112829 is about 335.9002828221. The cubic root of 112829 is about 48.3214820990.

The spelling of 112829 in words is "one hundred twelve thousand, eight hundred twenty-nine".