112264 has 8 divisors (see below), whose sum is σ = 210510. Its totient is φ = 56128.

The previous prime is 112261. The next prime is 112279. The reversal of 112264 is 462211.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 3364 = 330^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (112261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7009 + ... + 7024.

2¹¹²²⁶⁴ is an apocalyptic number.

It is an amenable number.

112264 is a deficient number, since it is larger than the sum of its proper divisors (98246).

112264 is a wasteful number, since it uses less digits than its factorization.

112264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14039 (or 14035 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 112264 is about 335.0582038990. The cubic root of 112264 is about 48.2406892287.

Adding to 112264 its reverse (462211), we get a palindrome (574475).

The spelling of 112264 in words is "one hundred twelve thousand, two hundred sixty-four".