112999 has 8 divisors (see below), whose sum is σ = 125280. Its totient is φ = 101728.

The previous prime is 112997. The next prime is 113011. The reversal of 112999 is 999211.

It can be divided in two parts, 112 and 999, that added together give a palindrome (1111).

It is not a de Polignac number, because 112999 - 2^{1} = 112997 is a prime.

It is a Duffinian number.

112999 is a modest number, since divided by 999 gives 112 as remainder.

It is a plaindrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 112999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112997) 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 7 ways as a sum of consecutive naturals, for example, 4902 + ... + 4924.

It is an arithmetic number, because the mean of its divisors is an integer number (15660).

2^{112999} is an apocalyptic number.

112999 is a deficient number, since it is larger than the sum of its proper divisors (12281).

112999 is an frugal number, since it uses more digits than its factorization.

112999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its digits is 1458, while the sum is 31.

The square root of 112999 is about 336.1532388658. The cubic root of 112999 is about 48.3457386575.

The spelling of 112999 in words is "one hundred twelve thousand, nine hundred ninety-nine".

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