112653 has 6 divisors (see below), whose sum is σ = 162734. Its totient is φ = 75096.

The previous prime is 112643. The next prime is 112657. The reversal of 112653 is 356211.

112653 is a `hidden beast` number, since 1 + 12 + 653 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 1764 = 333^2 + 42^2 .

It is not a de Polignac number, because 112653 - 2⁵ = 112621 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 112653.

It is not an unprimeable number, because it can be changed into a prime (112657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6250 + ... + 6267.

2¹¹²⁶⁵³ is an apocalyptic number.

It is an amenable number.

112653 is a deficient number, since it is larger than the sum of its proper divisors (50081).

112653 is a wasteful number, since it uses less digits than its factorization.

112653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12523 (or 12520 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 112653 is about 335.6381980645. The cubic root of 112653 is about 48.2963437429.

Adding to 112653 its reverse (356211), we get a palindrome (468864).

The spelling of 112653 in words is "one hundred twelve thousand, six hundred fifty-three".