112761 has 24 divisors (see below), whose sum is σ = 190944. Its totient is φ = 63360.

The previous prime is 112759. The next prime is 112771. The reversal of 112761 is 167211.

It is not a de Polignac number, because 112761 - 2¹ = 112759 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650 + ... + 1716.

It is an arithmetic number, because the mean of its divisors is an integer number (7956).

2¹¹²⁷⁶¹ is an apocalyptic number.

112761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112761 is a deficient number, since it is larger than the sum of its proper divisors (78183).

112761 is a wasteful number, since it uses less digits than its factorization.

112761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 112761 is about 335.7990470505. The cubic root of 112761 is about 48.3117726534.

Adding to 112761 its reverse (167211), we get a palindrome (279972).

It can be divided in two parts, 11 and 2761, that added together give a palindrome (2772).

The spelling of 112761 in words is "one hundred twelve thousand, seven hundred sixty-one".