112437 has 18 divisors (see below), whose sum is σ = 180726. Its totient is φ = 66960.

The previous prime is 112429. The next prime is 112459. The reversal of 112437 is 734211.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 34596 = 279^2 + 186^2 .

It is not a de Polignac number, because 112437 - 2³ = 112429 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112437.

It is not an unprimeable number, because it can be changed into a prime (112237) 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 17 ways as a sum of consecutive naturals, for example, 3612 + ... + 3642.

2¹¹²⁴³⁷ is an apocalyptic number.

It is an amenable number.

112437 is a deficient number, since it is larger than the sum of its proper divisors (68289).

112437 is a wasteful number, since it uses less digits than its factorization.

112437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 112437 is about 335.3162686182. The cubic root of 112437 is about 48.2654563134.

Adding to 112437 its reverse (734211), we get a palindrome (846648).

The spelling of 112437 in words is "one hundred twelve thousand, four hundred thirty-seven".