112338 has 18 divisors (see below), whose sum is σ = 246519. Its totient is φ = 36972.

The previous prime is 112337. The next prime is 112339. The reversal of 112338 is 833211.

Multipling 112338 by its sum of digits (18), we get a square (2022084 = 1422^{2}).

112338 divided by its sum of digits (18) gives a square (6241 = 79^{2}).

Adding to 112338 its reverse (833211), we get a palindrome (945549).

It is an interprime number because it is at equal distance from previous prime (112337) and next prime (112339).

It can be written as a sum of positive squares in only one way, i.e., 56169 + 56169 = 237^2 + 237^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=237.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number *n* which added to its sum of digits gives 112338.

It is not an unprimeable number, because it can be changed into a prime (112331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1383 + ... + 1461.

2^{112338} is an apocalyptic number.

112338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

112338 is an abundant number, since it is smaller than the sum of its proper divisors (134181).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112338 is an equidigital number, since it uses as much as digits as its factorization.

112338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 84 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 112338 is about 335.1686142824. The cubic root of 112338 is about 48.2512863537.

The spelling of 112338 in words is "one hundred twelve thousand, three hundred thirty-eight".

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