112084569 has 9 divisors (see below), whose sum is σ = 161945823. Its totient is φ = 74701872.

The previous prime is 112084493. The next prime is 112084571. The reversal of 112084569 is 965480211.

The square root of 112084569 is 10587.

It is a perfect power (a square), and thus also a powerful number.

112084569 is a `hidden beast` number, since 1 + 12 + 0 + 84 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10478169 + 101606400 = 3237^2 + 10080^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 112084569 - 2¹⁷ = 111953497 is a prime.

It is a super-2 number, since 2×112084569² = 25125901215831522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112084579) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29997 + ... + 33525.

Almost surely, 2^112084569 is an apocalyptic number.

112084569 is the 10587-th square number.

112084569 is the 5294-th centered octagonal number.

It is an amenable number.

112084569 is a deficient number, since it is larger than the sum of its proper divisors (49861254).

112084569 is an frugal number, since it uses more digits than its factorization.

112084569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 112084569 is about 482.1497457170.

Multiplying 112084569 by its sum of digits (36), we get a square (4035044484 = 63522²).

The spelling of 112084569 in words is "one hundred twelve million, eighty-four thousand, five hundred sixty-nine".