112477761 has 16 divisors (see below), whose sum is σ = 181782720. Its totient is φ = 68168160.

The previous prime is 112477759. The next prime is 112477787. The reversal of 112477761 is 167774211.

112477761 is a `hidden beast` number, since 112 + 477 + 76 + 1 = 666.

It is not a de Polignac number, because 112477761 - 2¹ = 112477759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112477361) 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 15 ways as a sum of consecutive naturals, for example, 189060 + ... + 189653.

It is an arithmetic number, because the mean of its divisors is an integer number (11361420).

Almost surely, 2^112477761 is an apocalyptic number.

112477761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112477761 is a deficient number, since it is larger than the sum of its proper divisors (69304959).

112477761 is a wasteful number, since it uses less digits than its factorization.

112477761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378733 (or 378727 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 112477761 is about 10605.5533094695. The cubic root of 112477761 is about 482.7128805496.

The spelling of 112477761 in words is "one hundred twelve million, four hundred seventy-seven thousand, seven hundred sixty-one".