112565988 has 36 divisors (see below), whose sum is σ = 292235580. Its totient is φ = 36507456.

The previous prime is 112565977. The next prime is 112566019. The reversal of 112565988 is 889565211.

It is a happy number.

112565988 is a `hidden beast` number, since 1 + 1 + 2 + 56 + 598 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90212004 + 22353984 = 9498^2 + 4728^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×112565988³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40923 + ... + 43586.

It is an arithmetic number, because the mean of its divisors is an integer number (8117655).

Almost surely, 2^112565988 is an apocalyptic number.

112565988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112565988 is an abundant number, since it is smaller than the sum of its proper divisors (179669592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112565988 is a wasteful number, since it uses less digits than its factorization.

112565988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84556 (or 84551 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 112565988 is about 10609.7119659301. The cubic root of 112565988 is about 482.8390600967.

The spelling of 112565988 in words is "one hundred twelve million, five hundred sixty-five thousand, nine hundred eighty-eight".