112149 has 12 divisors (see below), whose sum is σ = 171756. Its totient is φ = 70272.

The previous prime is 112139. The next prime is 112153. The reversal of 112149 is 941211.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 11025 = 318^2 + 105^2 .

It is not a de Polignac number, because 112149 - 2⁸ = 111893 is a prime.

It is a Curzon number.

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 112149.

It is not an unprimeable number, because it can be changed into a prime (112129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (14313).

2¹¹²¹⁴⁹ is an apocalyptic number.

It is an amenable number.

112149 is a deficient number, since it is larger than the sum of its proper divisors (59607).

112149 is a wasteful number, since it uses less digits than its factorization.

112149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 112149 is about 334.8865479532. The cubic root of 112149 is about 48.2242114779.

The spelling of 112149 in words is "one hundred twelve thousand, one hundred forty-nine".